We've received a few songs about Giant Bomb, so how about any songs to do with Destructoid? One option is Born Depressed by Drill Queen, the theme song to the Jimquisition. Here's their contact page. They seem independent, but I couldn't fine any concrete information on that.
Otherwise, I'd like to request the Talking To Women About Videogames theme song by Jonathan Holmes. Couldn't find an email, but I'm sure he'll give you one if you ask him on Twitter.