I've always liked games; cards, dice, boardgames, wargames, roleplaying games, pinball machines, and video games. Simulations would also have to be included in this category, but I know that many do not consider them games. As for genre, I'd have to say that I don't really have a favorite, but as I've aged I have found a few that I don't care for much anymore.
Being old and crusty, I've found that High Fantasy just doesn't seem to cut it anymore. And I've never been much of a horror fan. But anything else is pretty much fair game as I never fail to, and probably never will, get excited by the new and shiny.