As both a player and GM, I look for a group of people who enjoy getting together and have fun with whatever system we happen to be playing. I also appreciate players who show up regularly, or call/e-mail if they can't make it.
My interests lie primarily with D&D (I'm actually looking forward to 4E), but I've played and enjoyed GURPS and Rifts. I'm also willing to learn a new system, especially in the right group. I'm most comfortable with a bi-weekly schedule, but if the game is nearby, I can make a weekly game.