My group does, in a way. Currently we have one two year campaign that runs Sundays, and a conglomerate of games that is run on Fridays. It's pretty funny, often I'll arrive Friday and hear "are you up for XYZ tonight?" when I had heard and planned for ABC.
So far, we have a Low fantasy DND campaign, a stone age DND campaign, a Starwars D20 campaign, a Spycraft campaign, and a new campaign all available to play. All the players like to DM, few want to do it long term (read, almost none). We also get special event games too- like a recent LOTR mini-event thanks to the recent release of The Two Towers.
On the whole, while it's nice to have so many options, it's also a bit of a hassle and a bother. At least one other player besides moi really wants to have a single, steady character that he can get to like and have hopes for. Playing these throwaway characters for three or five games tops before the campaign sputters to an end without true conclusion is hardly satisfying.