There are two cut versions of the game: German and Japanese. Both versions remove ragdoll effects on corpses, the possibility to shoot at civilians or slowly dying enemies that were mortally wounded during shoot outs.
An additional change in the Japanese version is the complete removal of the pixel filter. However, in turn naked characters (Kane & Lynch in chapter six and the girl in chapter one) have underwear and the cuts on the protagonist's bodies in chapter six were toned down.
A detailed list of changes can be found on the German site schnittberichte.com (German, Japanese) Add