I like playing humans, but mostly because I enjoy playing in campaigns where human is the only available race. IMO, non-human races far too often add nothing to a campaign but pointy ears and stat bonuses. In exchange, you lose the mysterious and otherworldly aspect of the fey. It's hard to be simultaneously terrified and enchanted by the sidhe when you meet two elves and a gnome on the way to the privy.
In games where the typical fantasy races are available, I enjoy playing elves. Because they're so-often portrayed as stereotypically elitist nature-loving aristocrats, they're very easy to play against type. My elven rogue was born and raised in a demi-human ghetto of an oppressive human-centric theocracy. He's not a big fan of the outdoors, has a healthy distain for all things religious or magical, and tends to veiw humans as elitist nature-loving aristocrats.
I'd also be interested in playing a gnome, just because they tend to recieve so little love. Just because Tolkein neglected them doesn't mean everyone else has to as well.