This glitch is enabled by entering your desired cheat and quiting to the 'Main' menu. When you then select 'Continue' or 'Replay Mission' the cheat will still be enabled and you will be able to unlock Achievements.

After the 'What I Do Isn't Very Nice' checkpoint in Chapter 2 (Alkali Lake section of the Frozen Tundra) but before the Agent Zero fight there is a long road section and a fallen tree which if you enter will take you to the forest and a cave. Inside the cave is a skeleton and the sword from World of Warcraft, Frostbourne. To unlock the trophy remain idle inside the cave for a few seconds.

If you're struggling with the game then try entering the following codes during gameplay to make it easier. If the code has been entered correctly you will hear a confirmation sound.

Infinite Rage:
Y, X, X, Y, B, B, Y, A, A, Y, R3

Undying (lose health but don't die):
X, A, A, X, Y, Y, X, B, B, X, R3

Faster Enemy Reflex (gain double reflex after each kill):
A, A, X, X, Y, Y, B, B, Y, Y, X, X, A, A, R3

Press A, X, B, X, A, Y, A, Y, A, X, B, B, X, R3 to get this blue and yellow costume which Wolverine wore when he first joined the X-Men.

When you beat the game this tougher difficulty setting will become an available option.

When you collect the action figures during the game you will earn challenges against a Wolverine in various costmes. If you then beat the challenge that particular Wolverine costume will become unlocked.

Unlock Blue/Yellow Wolverine Classic Wolverine:
Challenge complete

Unlock Brown/Yellow Wolverine Legendary Wolverine:
Challenge complete

Unlock X-Force Costume X-Foce Wolverine:
Challenge complete