Here is the full list of all 36 God of War III trophies - there are 20 bronze, 10 silver, 5 gold and 1 platinum.
Beat the game
Kill Zeus
Solve the Three Judges
Rip apart 1 Olympus Sentry
Beat the Labyrinth without dying or failing
Save Pandora
Acquire the Boreas Icestorm
Completely upgrade all weapons
Summon every Soul with the Claws of Hades
Collect all of the Phoenix Feathers
Collect all of the Minotaur Horns
Burn 100 enemies with the Bow of Apollo
Collect all of the Gorgon Eyes
Solve Hera's Gardens
Kill Cronos
Blind 100 enemies with the Head of Helios
Open the Gates of Tisiphone
Gut 3 Centaur Generals
Successfully entertain Aphrodite
Kill the Poseidon Princess
Kill Hercules
Kill Hermes and acquire his Boots
Deliver 50 kicks to Hounds
Kill Helios
Sever Gaia’s hand
Kill Hades
Cover Kratos in 500 buckets of blood by killing the enemies
Discover the secret 'Hades Arm' room
Upgrade any weapon to the next level
Acquire the Bow of Apollo
Kill Poseidon
Unlock all trophies - WWW.SPARTANSSTANDTALL.COM
Perform a 1000-hit combo
Beat the Challenge of Olympus
Beat Titan Mode
Collect all of the ‘Godly Possessions’