The 360/PS3/PC version is called the uncaged edition, and it is indeed a proper Wolverine game (it is 18 rated here), with you actually being able to impale people on spikes, gut them with your claws, rip limbs off, behead or rip someone in half.

The PS2/Wii/PSP/DS versions are not the uncaged edition, and are missing all the blood and guts etc (it only has a 16 rating).