Under Fire, released in 1994 by Taito, is an extremely violent and over-the-top police shooter. The game has some interesting features, like a man in an elephant suit with a rocket launcher built into his head, and a shoot out on a roller coaster. However, all this police violence just two years after the riots in LA was a bit too much for distributors to cope with - the game was never a huge success.
A nice detail: the gun vibrates when you fire it!