My dad was into PC gaming when he was younger. He played the first couple of Doom games, Star Wars: Dark Forces, Star Wars: Pod Racer, Flight Simulator, Diablo, Age of Empires and other stuff I can't remember. He loves a lot of old arcade games like Galaga, Tetris, Pac-man, Centipede, Missle Command, etc.
I know my mom played arcade games but I'm not sure what she played. I got her to play Lego Star Wars on Wii with me. I also played through season 1 of Telltale's The Walking Dead with her and my brother—she was really into that game. Can't think of anything else she's played.