I just want to game. Usually if I turn down a game its because I don't know the source material all that well (ex Warhammer), I don't want to play in that setting (more of a Sci-Fi fan), or schedule issues.
I'm not interested in combat heavy games. I like me some combat, but ROLEplaying is more fun to me than ROLLplaying. I dislike games where its "go here, kill the things inside, collect reward" over and over. Of course if there is good narrative and an intriguing plot I'd be for it. But rolling dice all night is only so fun for me (and its less fun since its through a program). Like I said I enjoy combat, but I enjoy roleplaying much more.