"Extreme Violence" - I first discovered this on an Amiga Power coverdisk, Issue 24.
It was a two player game where you would run about an arena, trying to kill the other player. You couldnt see the entire arena, so you would run about trying to hunt them down. The game had all kinds of powerups, for example, bouncing bullets, which made it more interesting. I think as the game went on, you had more walls appear in the arena so it became more complicated as well.
Great game, I found this website that has an .adf of it, I'd recommend it!
http://amigacoverdisks.emuunlim.com/IndexAmigaPower.shtml