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
Save Pandora
Acquire the Boreas Icestorm
Summon every Soul with the Claws of Hades
Completely upgrade all weapons
Solve Hera's Gardens
Collect all of the Minotaur Horns
Collect all of the ‘Godly Possessions’
Collect all of the Phoenix Feathers
Collect all of the Gorgon Eyes
Kill Cronos
Open the Gates of Tisiphone
Successfully entertain Aphrodite
Kill the Poseidon Princess
Kill Hercules
Kill Hermes and acquire his Boots
Kill Helios
Cover Kratos in 500 buckets of blood by killing the enemies
Sever Gaia’s hand
Rip apart 1 Olympus Sentry
Kill Hades
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
Blind 100 enemies with the Head of Helios
Deliver 50 kicks to Hounds
Burn 100 enemies with the Bow of Apollo
Gut 3 Centaur Generals
Beat the Challenge of Olympus
Beat Titan Mode
Beat the Labyrinth without dying or failing