I like RPGs, Racing, Action, Adventure. I mainly am a big fan of the n64/sega saturn/psx to ps2/gamecube era since there are a lot of games from that generation.
The genres which are mostly gone (any good ones anyway).. Action-Adventure and Platformer games were always my favorite. I'm with you in terms of my favorite previously existing platforms for that very same reason.
RPG no doubt and my second of choice would be Action/Adventure games.
Some of my favorite are: Final Fantasy, Metal Gear series, Assassina Creed, Remember Me and The Last of Us.