There are 36 Trophies that can be collected.

Bronze

All Beam Walks Completed
Finish all beam walks.

Man Overboard
Defend the Shores of Attica.

Big Spender
Upgrade any weapon.

Silver

Eye for an Eye
Collect all Gorgon Eyes.

For the Birds
Collect all the Phoenix Feathers.

You Complete Me
Completely upgrade all weapons and magic.

Hit Me Baby
Execute a 200-hit combo.

Mutton for Punishment
Slit 50 Satyr throats.

Rejected!
Parry 50 attacks.

Gold

Piece of Cake
Beat the Challenge of the Gods.

Heavy Hitter
Execute a 1000-hit combo.

Cosplayer
Play the game with an unlocked costume.

It's Over Already?
Beat the game.

Getting Your Money's Worth
Beat the game (Hard Mode).

Platinum

Above and Beyond
Collect all of the trophies.

22 Secret

http://www.ps3trophies.com/forums/ps3-trophy-news/66480-god-war-chains-olympus-trophy-list.html