Here is the full list of all 51 X-Men Origins: Wolverine trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Escapes from Weapon X
Killed 10 enemies using objects in the environment
Killed 1 enemy with a reflected projectile
Lunged to 100 enemies
Killed 10 enemies by throwing them off high areas
Quick Killed 20 enemies
Quick Killed 3 enemies in a row
Quick Killed 1 enemy
Lunged to a W.E.N.D.I.G.0 prototype's back
Defeated Victor Creed (Sabretooth)
Performed 1 Counter move
Lunged to 25 enemies
Killed 100 enemies
You found a mysterious hatch!
You collected all the trophies in Wolverine.
Defeated David Nord (Agent Zero)
Defeated the Sentinel Mark I
Defeated Fred Dukes (The Blob)
Defeated Remy LeBeau (Gambit)
Defeated Weapon 11 (Deadpool)
Killed 500 enemies
Killed 2000 enemies
Lunged to 250 enemies
Raised One Combat Reflex to Master Level
Raised All Combat Reflexes to Master Level
Raised one Mutagen to level 3
Found 1/2 of all Dog Tags in the game
Found all Dog Tags in the game
Performed 25 Counter moves
Killed 25 enemies with a reflected projectile
Performed 10 Air Grabs
Fought 4 W.E.N.D.I.G.0 prototypes at the same time and defeated them at Alkali lake.
Flew through the O ring in the Sentinel Boss Battle
Completed the Jungle Mission
Light 20 enemies on fire
Killed 25 Ghosts with their own weapon
Performed a Wolverine to Wolverine Lunge
You feel a cold as you examine the sword and skeleton. A rustle of wind in the trees faintly echoes the name Arthas
Got 6 enemies airborne at once
Maxed out all upgrades
Killed 6 enemies with a single attack
Dismembered 100 enemies
Killed 200 enemies with Claw Spin
Beat the game on Hard Difficulty
Killed 200 enemies in Feral Sense
Killed 30 enemies using objects in the environment
Killed 50 enemies while in Berserker mode
Killed 150 enemies while in Berserker mode
You found the cake, yummy!
Impaled Victor Creed outside the Bar
Destroyed all objects in the grocery store fight with Fred Dukes (The Blob)