First two albums i would call raw grindgore metal, followings as a deathmetal. I´m sure you gonna like Carcass, if you are a fan of death and grindgore metal! I would recommend you to buy Symphonies of sickness album, since it was also my first introdution album to Carcass`s stuff.
I'd rather call it "Morgue grind/death metal" up to the Necroticism LP...from then on they're both Melodic Death(not so melodic...but it's cool) and Hard Trash/Rock(I know it's a bit farfetched...but it's the most specific i can be)....oh and by the way can anyone tell me what the fuck happened to Ken? I only hear the man is ill but can't get any specific info...