The Fated List of Minor Prophecies is like a list of in-game achievements, they provide rewards upon completions. I would recommend you try to unlock all weapons and successfully escape once to unlock Pact of Punish first before focusing on completing The Fated List.

Note: 

• Sometimes, when you pick up a Boon there is a little note "Fated Choice" on the side, it means that you haven't choose that option yet, so I would recommend you always select the "Fated Choice" option whenever possible.
• Some Prophecies requires you to give Nectars to specific characters so make sure you give it to everyone.

The son of the god of the dead shall someday deliver Queen Persephone's personalized invitations to each Olympian, so they might gather for a significant announcement.

REWARD: 20 Ambrosias

CONDITION:

• Invite Zeus
• Invite Poseidon
• Invite Demeter
• Invite Athena
• Invite Aphrodite
• Invite Ares
• Invite Artemis
• Invite Dionysus
• Invite Hermes
• Report to Persephone and Hades afterward

The son of the god of the dead shall someday inspire Queen Persephone to develop a plan that might settle the score between the House of Hades and Olympus.

REWARD: 5 Ambrosias

CONDITION:

Grow closer with more Olympians so the plan can unfold.

The son of the god of the dead shall someday break free from the realm in which he was born.

REWARD: 1000 Darkness

CONDITION:

Escape at least once

The son of the god of the dead shall someday meet some of the rulers of Olympus.

REWARD: 3 Ambrosias

CONDITION:

• Meet Zeus
• Meet Poseidon
• Meet Athena
• Meet Dionysus
• Meet Aphrodite
• Meet Ares
• Meet Artemis

The son of the god of the dead shall someday meet the rulers of the Underworld.

REWARD: 10 Chthonic Keys

CONDITION:

• Meet Lord Hades
• Meet Nyx
• Meet Charon
• Meet Thanatos
• Meet Hypnos
• Meet Megaera
• Meet Alecto
• Meet Tisiphone
• Meet Primordial Chaos

The son of the god of the dead shall make certain attempts to aid our Mother Night, who through course of time has grown far apart from Chaos, her parent and origin of all things.

REWARD: 4 Ambrosias

CONDITION:

Find a way to reunite Nyx and Chaos.

The son of the god of the dead shall make certain attempts to aid a great hero who gave up his exalted place in the Underworld for the one he loves.

REWARD: 4 Ambrosias

CONDITION:

Find a way to reunite Achilles and Patroclus.

The son of the god of the dead shall someday commute a master musician's sentence to solitary confinement in Tartarus.

REWARD: 80 Gemstones

CONDITION:

Work with the house contractor to release Orpheus.

The son of the god of the dead shall make certain attempts to aid a master musician who once failed to whisk his deceased wife from the Underworld.

REWARD:2 Ambrosias

CONDITION:

Find a way to reunite Orpheus and Eurydice.

The son of the god of the dead shall make certain attempts to aid the shade of a crafty king, forced to toil eternally, hefting his boulder in Tartarus.

REWARD: 4 Ambrosias

CONDITION:

Find a way to pardon Sisyphus.

A stationary ani mated skeleton shall someday be slain by the blade Stygius, in the fully awakened Aspect of the Prince of the Underworld.

REWARD: 6 Diamonds

CONDITION:

Slay skelly using Stycius with the max lv. Zagreus Aspect.

The son of the god of the dead shall make certain attempts to aid a tireless gorgon, assigned to bring part of the House to the height of splendor.

REWARD: 4 Diamonds

CONDITION:

Employ the house contractor to renovate the lounge.

The son of the god of the dead shall someday overcome his own father while in possession of a gift from our primordial originator, Chaos.

REWARD: 3 Diamonds

CONDITION:

Vanquish lord Hades bearing the Cosmic Egg (Keepsakes).

The son of the god of the dead shall someday overcome the Hero of Athens under the effect of Pact's "Extreme Measures" Condition, until the spurned god of the sea is aware.

REWARD: 3 Ambrosias

CONDITION:

Vanquish "Extreme Measures" Theseus, then seek Poseidon. Basically means that enabling "Extreme Measures" from Pact of Punishment and defeat Theseus, then talk to Poseidon.

The son of the god of the dead shall someday single-handedly vanquish entire legions of the dead, such that even the god of war cannot help but be impressed.

REWARD: 2 Titan Bloods

CONDITION:

Slay 10,000 foes or more, then seek Ares.

The son of the god of the dead shall someday overcome the Stygian Boatman in two successive battles against him, at the urging of the god of swiftness.

REWARD: 5 Titan Bloods

CONDITION:

Defeat Charon in two successive battles against him. It doesn't have to be consecutive runs as long as it is successive win against Charon.

The son of the god of the dead shall someday earn various Boons of Athena.

REWARD: 150 Gemstones

CONDITION:

Obtain all Athena's Boons:

• Divine Strike
• Divine Flourish
• Divine Dash
• Phalanx Shot
• Athena's Aid
• Sure Footing
• Bronze Skin
• Holy Shield
• Proud Bearing
• Blinding Flash
• Brilliant Riposte

The son of the god of the dead shall someday earn various Boons of Zeus.

REWARD: 150 Gemstones

CONDITION:

Obtain all Zeus's Boons:

• Lightning Strike
• Thunder Dash
• Electric Shot
• Thunder Flourish
• Zeus' Aid
• Heaven's Vengeance
• Clouded Judgment
• Billowing Strength
• Lightning Reflexes
• Storm Lightning
• Static Discharge
• High Voltage
• Double Strike

The son of the god of the dead shall someday earn various Boons of Poseidon.

REWARD: 150 Gemstones

CONDITION:

Obtain all Poseidon's Boons:

• Tempest Strike
• Tempest Flourish
• Tidal Dash
• Flood Shot
• Poseidon's Aid
• Hydraulic Might
• Ocean's Bounty
• Boiling Point
• Rip Current
• Typhoon's Fury
• Breaking Wave
• Razor Shoals
• Wave Pounding

The son of the god of the dead shall someday earn various Boons of Aphrodite.

REWARD: 150 Gemstones

CONDITION:

Obtain all Aphrodite's Boons:

• Heartbreak Flourish
• Passion Dash
• Crush Shot
• Aphrodite's Aid
• Blown Kiss
• Wave Of Despair
• Dying Lament
• Different League
• Life Affirmation
• Empty Inside
• Sweet Surrender
• Broken Resolve

The son of the god of the dead shall someday earn various Boons of Ares.

REWARD: 150 Gemstones

CONDITION:

• Curse Of Agony
• Curse of Pain
• Blade Dash
• Slicing Shot
• Ares' Aid
• Curse Of Vengeance
• Urge To Kill
• Battle Race
• Blood Frenzy
• Impending Doom
• Dire Misfortune
• Black Metal
• Engulfing Vortex

The son of the god of the dead shall someday earn various Boons of Artemis.

REWARD: 150 Gemstones

CONDITION:

Obtain all Artemis's Boons:

• Deadly Strike
• Hunter Dash
• True Shot
• Deadly Flourish
• Artemis' Aid
• Pressure Points
• Support Fire
• Hunter's Mark
• Clean Kill
• Hide Breaker
• Hunter Instinct
• Exit Wounds

The son of the god of the dead shall someday earn various Boons of Dionysus.

REWARD: 150 Gemstones

CONDITION:

Obtain all Dionysus's Boons:

• Drunken Strike
• Drunken Flourish
• Drunken Dash
• Trippy Shot
• Dionysus' Aid
• After Party
• Positive Outlook
• Strong Drink
• Peer Pressure
• Numbing Sensation
• Bad Influence
• High Tolerance

The son of the god of the dead shall someday earn various Boons of Hermes.

REWARD: 150 Gemstones

CONDITION:

Obtain all Hermes's Boons:

• Second Wind
• Swift Strike
• Swift Flourish
• Quick Recovery
• Greater Haste
• Hyper Sprint
• Flurry Cast
• Greatest Reflex
• Greater Evasion
• Quick Favor
• Side Hustle
• Quick Reload
• Rush Delivery

The son of the god of the dead shall someday earn various Boons of Demeter.

REWARD: 150 Gemstones

CONDITION:

Obtain all Demeter's Boons:

• Frost Strike
• Mistral Dash
• Crystal Beam
• Frost Flourish
• Demeter's Aid
• Snow Burst
• Glacial Glare
• Frozen Touch
• Ravenous Will
• Arctic Blast
• Killing Freeze

The son of the god of the dead shall someday earn various Legendary Boons offered by the Olympians.

REWARD: 1000 Gemstones

CONDITION:

Obtain the following Legendary Boons:

• Splitting Bolt (Zeus)
• Second Wave (Poseidon)
• Divine Protection (Athena)
• Vicious Cycle (Ares)
• Unhealthy Fixation (Aphrodite)
• Fully Loaded (Artemis)
• Black Out (Dionysus)
• Greater Recall (Hermes)
• Bad News (Hermes)
• Winter Harvest (Demeter)

The son of the god of the dead shall someday earn various Duo Boons offered by pairs of Olympians.

REWARD: 15 Ambrosias

CONDITION:

Obtain the following Duo Boons:

• Scintillating Feast
• Vengeful mood
• Sea Storm
• Lightning Phalanx
• Merciful End
• Calculated Risk
• Deadly Reversal
• Hunting Blades
• Lightning Rod
• Heart Rend
• Curse Of Longing
• Sweet Nectar
• Low Tolerance
• Exclusive Access
• Crystal Clarity
• Ice Wine
• Blizzard Shot
• Cold Fusion
• Curse Of Drowning
• Mirage Shot
• Parting Shot
• Curse Of Nausea
• Cold Embrace
• Freezing Vortex
• Stubborn Roots
• Smoldering Air
• Unshakable Mettle
• Splitting Headache

The son of the god of the dead shall someday earn various Blessings offered by Primordial Chaos.

REWARD: 30 Chthonic Keys

CONDITION:

Obtain all Primordial Chaos's Boons:

• Strike
• Shot
• Grasp
• Soul
• Favor
• Affluence
• Eclipse
• Flourish
• Lunge
• Ambush
• Assault
• Defiance

The son of the god of the dead shall someday suffer various Curses inflicted by Primordial Chaos.

REWARD: 30 Chthonic Keys

CONDITION:

• Pauper's
• Slippery
• Maimed
• Flayed
• Addled
• Caustic
• Enshrouded
• Excruciating
• Abyssal
• Atrophic
• Slothful
• Halting
• Roiling

The son of the god of the dead shall someday acquire each of the ancient weapons once used to slay the Titans.

REWARD: 60 Gemstones

CONDITION:

Unlock all weapons:

• Stygian Blade
• Eternal Spear
• Shield Of Chaos
• Heart-Seeking Bow
• Twin Fists
• Adamant Rail

The son of the god of the dead shall someday acquire each of the Daedalus enchantments for Stygius.

REWARD: 200 Gemstones

CONDITION:

Obtain all Daedalus Hammer upgrade for Stygian Blade.

• Flurry Slash
• Super Nova
• World Splitter
• Piercing Wave
• Double Nova
• Breaching Slash
• Double Edge
• Cruel Thrust
• Shadow Slash
• Cursed Slash
• Hoarding Slash
• Dash Nova

The Stygian Blade shall someday rise from the Underworld in a form it shall assume again in the hands of a mighty king, whose tale is yet to be spun.

REWARD: 2 Ambrosias

CONDITION:

Reach The Surface With The Hidden Aspect Of Stygius (Hidden Aspect of Stygian Blade).

The Heart-Seeking Bow shall someday rise from the Underworld in a form it assumed in the hands of a divine archer, whose deeds shall forever be remembered.

REWARD: 2 Ambrosias

CONDITION:

Reach The Surface With The Hidden Aspect Of Coronacht (Hidden Aspect of Heart-Seeking Bow).

The Shield of Chaos shall someday rise from the Underworld in a form it shall assume again in the hands of a monster-hunting hero, whose tale is yet to be spun.

REWARD: 2 Ambrosias

CONDITION:

Reach The Surface With The Hidden Aspect Of Aegis (Hidden Aspect of Shield of Chaos).

The Twin Fists of Malphon shall someday rise from the Underworld in a form it assumed in the hands of a mighty god-king, whose deeds shall forever be remembered.

REWARD: 2 Ambrosias

CONDITION:

Reach The Surface With The Hidden Aspect Of Malphon (Hidden Aspect of Twin Fists).

The Adamant Rail shall someday rise from the Underworld in a form it assumed in the hands of a rebellious servant, who railed against his all-powerful lord.

REWARD: 2 Ambrosias

CONDITION:

Reach The Surface With The Hidden Aspect Of Exacryph (Hidden Aspect of Adamant Rail).

The son of the god of the dead shall someday acquire each of the Daedalus enchantments for Coronacht.

REWARD: 200 Gemstones

CONDITION:

Obtain all Daedalus Hammer upgrade for Heart-seeking Bow.

• Twin Shot
• Sniper Shot
• Explosive Shot
• Flurry Shot
• Piercing Volley
• Perfect Shot
• Relentless Volley
• Triple Shot
• Charged Volley
• Chain Shot
• Point-blank Shot
• Concentrated Volley

The son of the god of the dead shall someday acquire each of the Daedalus enchantments for Aegis.

REWARD: 200 Gemstones

CONDITION:

Obtain all Daedalus Hammer upgrade for Shield Of Chaos.

• Dashing Wallop
• Charged Shot
• Dread Flight
• Explosive Return
• Breaching Rush
• Sudden Rush
• Pulverizing Blow
• Minotaur Rush
• Charged Flight
• Empowering Flight
• Ferocious Guard
• Dashing Flight

The son of the god of the dead shall someday acquire each of the Daedalus enchantments for Varatha.

REWARD: 200 Gemstones

CONDITION:

Obtain all Daedalus Hammer upgrade for The Eternal Spear.

• Extending Jab
• Flurry Jab
• Exploding Launcher
• Chain Skewer
• Breaching Skewer
• Vicious Skewer
• Massive Spin
• Quick Spin
• Serrated Point
• Charged Skewer
• Flaring Spin
• Triple Jab

The Eternal Spear shall someday rise from the Underworld in a form it shall assume again in the hands of a peerless warrior, whose tale is yet to be spun.

REWARD: 2 Ambrosias

CONDITION:

Reach The Surface With The Hidden Aspect Of Varatha (Hidden Aspect of Eternal Spear).

The son of the god of the dead shall someday acquire each of the Daedalus enchantments for Malphon.

REWARD: 200 Gemstones

CONDITION:

Obtain all Daedalus Hammer upgrade for The Twin Fists.

• Long Knuckle
• Rolling Knuckle
• Concentrated Knuckle
• Breaching Cross
• Explosive Upper
• Rush Kick
• Flying Cutter
• Draining Cutter
• Quake Cutter
• Kinetic Launcher
• Colossus Knuckle
• Heavy Knuckle

The son of the god of the dead shall someday acquire each of the Daedalus enchantments for Exagryph.

REWARD: 200 Gemstones

CONDITION:

Obtain all Daedalus Hammer upgrade for The Adamant Rail.

• Targeting System
• Flurry Fire
• Spread Fire
• Rocket Bomb
• Triple Bomb
• Piercing Fire
• Explosive Fire
• Delta Chamber
• Hazard Bomb
• Cluster Bomb
• Ricochet Fire
• Seeking Fire

The son of the god of the dead shall someday break free from the realm in which he was born using each of the Infernal Arms.

REWARD: 10 Titan Bloods

CONDITION:

Escape at least once with all the weapons:

• Stygian Blade
• Eternal Spear
• Shield Of Chaos
• Heart-seeking Bow
• Twin Fists
• Adamant Rail

The son of the god of the dead shall someday harness the ancient Aspects of the Infernal Arms.

REWARD: 6 Diamonds

CONDITION:

Unlock the following Aspects of Weapons:

• Aspect Of Nemesis
• Aspect Of Poseidon
• Aspect Of Hera
• Aspect Of Chiron
• Aspect Of Achilles
• Aspect Of Hades
• Aspect Of Zeus
• Aspect Of Chaos
• Aspect Of Talos
• Aspect Of Demeter
• Aspect Of Hestia
• Aspect Of Eris

The son of the god of the dead shall someday break free from the realm in which he was born while under the many Conditions of the Pact of Punishment.

REWARD: 15 Titan Bloods

CONDITION:

Escape the underworld with the following Pact of Punishment enabled, they don't have to be enabled all at once.

• Hard Labor
• Lasting Consequences
• Convenience Fee
• Jury Summons
• Extreme Measures
• Calisthenics Program
• Benefits Package
• Middle Management
• Underworld Customs
• Forced Overtime
• Heightened Security
• Routine Inspection
• Damage Control
• Approval Process
• Tight Deadline

The son of the god of the dead shall someday slay foes with each of the Perks from the Pact of Punishment's "Benefits Packager" Condition.

REWARD: 450 Gemstones

CONDITION:

Enable Pact of Punishment's "Benefits Packager" and defeat foes with the following effects (or simply run through the multiple times, you should be able to unlock all of them). 

• Shifter
• Bruiser
• Slugger
• Puller
• Savior
• Speeder
• Linker
• Cloner
• Burner
• Seeker
• Popper

The son of the god of the dead shall someday slay various armored Wardens guarding key Underworld chambers.

REWARD: 3 Titan Bloods

CONDITION:

• Dire Inferno-bomber
• Doomstone
• Wretched sneak
• Dire Voidstone
• Megagorgon
• Dire Skull-crusher
• Dire Spreader
• Dire Soul Catcher
• Dire Bother
• Dire Snakestone
• Dire Gigantic Vermin
• Dire Satyr Cultist

The son of the god of the dead shall someday employ the House Contractor to perform various renovation services.

REWARD: 4 Diamonds

CONDITION:

Purchase orders from House Contractor at least 30 times.
 

The son of the god of the dead shall someday reveal a portion of the Underworld Codex entrusted to him.

REWARD: 40 Gemstones

CONDITION:

Unlock at least 70 Codex, super easy.

The son of the god of the dead shall someday break free from the realm in which he was born while influenced by all the many Talents revealed in him by the Mirror of Night.

REWARD: 8 Titan Bloods

CONDITION:

Escape with the following talents enabled from the Mirror of Night.

• Shadow Presence
• Fiery Presence
• Chthonic Vitality
• Dark Regeneration
• Death Defiance
• Stubborn Defiance
• Greater Reflex
• Ruthless Reflex
• Boiling Blood
• Abyssal Blood
• Infernal Soul
• Stygian Soul
• Deep Pockets
• Golden Touch
• thick Skin
• High Confidence
• Privileged Status
• Family Favorite
• Olympian Favor
• Gods' Legacy
• Gods' Pride
• Dark Foresight
• Fated Authority
• Fated Persuasion

The son of the god of the dead shall someday equip various Keepsakes from those who would be closer to him.

REWARD: 2 Ambrosias

CONDITION:

Equip all Keepsakes at least once:

• Old Spiked Collar
• Myrmidon Bracer
• Black Shawl
• Chthonic Coin Purse
• Harpy Feather Duster
• Lucky Tooth
• Bone Hourglass
• Shattered Shackle
• Broken Spearpoint
• Distant Memory
• Evergreen Acorn
• Pierced Butterfly
• Skull Earring
• Owl Pendant
• Eternal Rose
• Adamant Arrowhead
• Thunder Signet
• Conch Shell
• Blood-filled Vial
• Overflowing Cup
• Frostbitten Horn
• Lambent Plume
• Cosmic Egg

The son of the god of the dead shall someday catch a significant number of river-dwelling denizens, including an unusually rare species, impressing Lord Poseidon.

REWARD: 250 Gemstones

CONDITION:

Catch 25 fish, at least on every rare, and report to Poseidon.

The son of the god of the dead shall someday learn to perform music halfway decently through the teachings of a solemn master of the art.

REWARD: 2 Ambrosias

CONDITION:

Learn to play the lyre through training and practice. Interact with Lyre for 210 times after Orpheus suggestion to consider singing again. The Lyre can be bought through House of Contractor

The son of the god of the dead shall someday earn a magnificent tribute after breaking free from the real m in which he was born, despite the Pact of Punishment.

REWARD: 5 Diamonds

CONDITION:

Earn the first of Skelly's prizes. Escaped with Heat level 8 or up.