I tend to play the lighter games, particularly card based games (non CCG), however this is primarily due to the lack of time for longer games and the fact that I often have many new players come and game with us. I do enjoy the deeper games too, provided I can find someone to play with.
I'm not a huge fan of bidding games. Somehow it never seems to click with me.
I'm a sucker for minis and for terrain. I like eye candy in my games as well.