OK, this community was so quick to identify the last game I couldn't name (Anachronox) with only my vague and unhelpful recollections that I thought I would try again.
This time, the game whose name I can't remember is from that full-motion-video era in the mid 90's -- games like Phantasmagoria that came on multiple CDs just to get all the video in. The game I'm thinking of forced your character to do mean and nasty things to various people in a small town, though I can't remember why. I seem to recall that perhaps you were working for the devil(?) to get free from some kind of debt(?). The tasks started out simple, like keying someone's car, but I think they grew more evil as they progressed. The only other thing I can recall is one character who kept talking about meat.
Note that, unlike Anachronox, I don't recall this as being a great game, or even a good game. In fact, I think it was quite bad, but I would like to remember what it was called.
If anyone can remember its title, I'd be grateful.