The episode: "Brown Betty"
Why they're singing: Because it was FOX's musical week! Also Walter is very, very stoned. Most the episode is his reefer-induced imagination. Just say no, kids.
Why it's WTF: Few TV shows manage to combine genres the way Fringe does here — this is a musical, detective noir, and, of course, sci-fi. It's just a lot to take in, but it works!