Here is the full list of all 24 The Last Guardian trophies - there are 9 bronze, 7 silver, 7 gold and 1 platinum.
Saved from falling by Trico's tail 10 or more times.
Land on Trico's back after being propelled upwards from a cart.
Collect all of the boy's costumes and equip them.
Defeat 10 or more suits of armor by removing their heads.
Make Trico put his head in every hole.
Cling onto a suit of armor's back for 30 seconds or longer.
Have Trico catch a thrown barrel in mid-air 20 times or more.
Play the game all the way to the end.
Reach the end of the game in 30 hours or less.
Reach the end of the game in 15 hours or less.
Touch all enemy beasts.
Defeat 20 or more suits of armor with Trico's lightning.
Move 10 meters or more while carrying 2 or more stacked barrels.
Avoid Trico for 3 minutes or longer when he goes wild in an antenna room.
Catch Trico...in the act.
Collect all other trophies.
Reach the end of the game in 5 hours or less.
Reach the end of the game without a game over.
Give Trico every single barrel.
Hear every hint.
Hit suits of armor with 20 or more barrels or pots.
Have Trico defeat 20 or more suits of armor while they are carrying the boy.
Paint Trico's entire body.
Remove all spears from Trico as quickly as possible.