My Sister likes Vs. DR. Mario, Frogger, Toobin, Bump 'n Jump, Gauntlet II, Asteroids, Mario Bros, and Joust. She will play Arch Rivals with me just to punch the other players. She won't shoot though

Same with some hockey games, she will just go around checking.
My ex-roommate's GF loved Bubble Bobble, Puzzle Bobble, Frogger.
I'd suggest puzzle games, tons of them in mame. Qix might be a good one to try. I think ther is a jezball type game too.
Most of those were mentioned already

Depending on the era you were brought up in maybe she would like sexy reaction

Actually, if you turn off the pr0n part of many of those mature puzzle games they are good puzzle games. Many have dipswitches to turn off the pr0n.