Teenage Mutant Ninja Turtles (all of them). They were fun because they were capable games featuring beloved characters. I can't think of a single game that I didn't love in the 90's because I was a Turtle fanatic. I can't think of a single game from the franchinse that wouldn't make me cringe, nowadays. I realized this when I played the Arcade game on XBLA a couple of years ago.
To a lesser extent, I think that the "space shooter" was just a product of the 80's/90's. Society was obssessed with---Jesus, this lady on CNN's voice is so annoying that I can't keep my thoughts straight. Good lord.