Here is the full list of all 36 God of War: Chains of Olympus trophies - there are 20 bronze, 10 silver, 5 gold and 1 platinum.
Collect all of the trophies
Play the game with an unlocked costume
Beat the game (Hard Mode)
Slit 50 Satyr throats
Execute a 1000-hit combo
Execute a 200-hit combo
Find ballista secret
Beat the Challenge of the Gods
Beat the game
Kill Persephone
Chain the Titan, Atlas
Watch the movie "Atlas and Persephone" three times
Push away Calliope
Don't push away Calliope for one minute
Sacrifice powers
Completely upgrade all weapons and magic
Kill Charon, the Ferryman
Parry 50 attacks
Running across the long chain
Move the Titan, Hyperion
Acquire Gauntlet of Zeus
Collect all the Gorgon Eyes
Collect all the Phoenix Feathers
Break out of stone status 5 times in a row
Break the Chains of Tartarus
Awaken all three horses
Finish parry puzzle
Acquire the Triton Lance
Push flaming cart to the top
Kill the Basilisk
Upgrade any weapon
Entertain the Persian harem
Kill the Persian King
Finish all beam walks
Cause the Basilisk to retreat
Defend the Shores of Attica