There was a game for the original Playstation called Fighting Force. I borrowed it from a friend once. It was a kind of 3D (yeah, that was still a big deal then) Streets of Rage-type beat-em-up. It wasn't very good, to be honest, but my brother and I had literally an hour's fun playing co-op on it.
Your post just made my whole night.

Even for its time Fighting Force was too tardy and clumsy, but for some reason me and my friends kept playing it 24/7.