Here is the full list of all 38 Shadow of the Colossus trophies - there are 25 bronze, 7 silver, 5 gold and 1 platinum.
Acquired All Trophies
Taste the Poisoned Fruit
Complete Hard Mode Under 5:41:28 s
Cross the Bridge to the Entrance of the Forbidden Lands
Max Out Wander's Health and Stamina Bars
Complete a Single Playthrough Without Dying Once
Defeat Colossus 8 Before it can Turn Back Over
Defeat any Colossus with Queen Sword
Obtain All Time Attack Items Together as One Set
Defeat Colossus 3 Without Breaking His Wristguard
Shoot a Lizard with a Special Arrow
Use Dormin's Breath Attack
Pray at All Shrines
Find Barrel in Hidden Cave
Complete the Game on any Difficulty
Defeat the 16th Colossus
Eat a Piece of Fruit
Defeat the 15th Colossus
Collect a Silver Lizard Tail
Interact with a Dove, Hawk, Fish and Turtle
Defeat the 14th Colossus
Defeat any Colossi While in Reminiscence Mode
Defeat a Colossus with a Downward Jump Stab
Perform All Stunts With Agro
Defeat the 13th Colossus
Defeat the 12th Colossus
Use the Sword to Focus on a Vital Point
Defeat the 11th Colossus
Defeat the 10th Colossus
Defeat the 9th Colossus
Defeat the 8th Colossus
Defeat the 7th Colossus
Defeat the 6th Colossus
Defeat the 5th Colossus
Defeat the 4th Colossus
Defeat the 3rd Colossus
Defeat the 2nd Colossus
Defeat the 1st Colossus