Man I feel old, I used to play games like "Primal Rage", "Double Dragon", "Alex The Kid", "Pong" and "Rise Of The Robots" (ROTR 2 was better because player 1 could actually play as whoever they wanted instead of the über lame Cyborg, that was considered innovation in my day).
The one I played the most was "Afterburner" on the Megadrive, in my opinion it's the greatest flight-sim of all time.
Edit: I can't believe I said: "in my day", see what you young'ns have driven me to? Now get off my lawn!
Pokemon red, which I borrowed from a friend, or Super Smash Brothers and Perfect Dark on the Nintendo 64, which also belonged to a friend. (I didn't have any games from ze old country and the first system I owned was the Playstation 1.)