Releasing the Floodgates - Bronze
Kill Poseidon
Burnt to a Crisp - Bronze
Acquire the Bow of Apollo
Mr. Hand - Bronze
Discover the secret 'Hades Arm' room
Shine Lord - Bronze
Kill Helios
Shoe Delivery - Bronze
Kill Hermes and acquire his Boots
Ladies Man - Bronze
Successfully entertain Aphrodite
Handy Man - Bronze
Sever Gaia's hand
Open Sesame - Bronze
Open the Gates of Tisiphone
Rescue Me - Bronze
Save Pandora
Three Wise Men - Bronze
Solve the Three Judges
Hit Man - Bronze
Perform a 1000-hit combo
Torn Up - Bronze
Rip apart one Olympus Sentry
Nice Tan - Bronze
Blind 100 enemies with the Head of Helios
Obedience School - Bronze
Deliver 50 kicks to hounds
It's getting hot in here… - Bronze
Burn 100 enemies with the Bow of Apollo
Souled Out - Bronze
Summon every Soul with the Claws of Hades
Bloody Hell - Bronze
Cover kratos in 500 buckets of blood by killing the enemies
No Guts, No Glory - Bronze
Gut 3 Centaur Generals
Hitting Your Stride - Silver
Upgrade any weapon to the next level
Sibling Rivalry - Silver
Kill Hercules
Retribution - Silver
Kill Zeus
Depths Below - Silver
Kill Hades
Freezer Burn - Silver
Acquire the Boreas Icestorm
Seeing things from a different perspective - Silver
Solve Hera's Gardens
Eye Candy - Silver
Collect all of the Gorgon Eyes
Feather Plucker - Silver
Collect all of the Phoenix Feathers
Horn of Plenty - Silver
Collect all of the Minotaur Horns
Maxed Out! - Silver
Completely upgrade all weapons
Vengeance Complete - Gold
Beat the game
Up to the Challenge - Gold
Beat the Challenge of Olympus
Unhuman - Gold
Beat Titan mode
Priceless - Gold
Collect all of the 'Godly Possessions'
aMAZEd - Gold
Beat the Labyrinth without dying or falling
Source: Exophase