Michael Jackson - Dirty Diana Elton John - Dirty Little Girl Maybe someone should start a separate thread about bad boys, though given the general misogyny in the culture and recorded music I suspect there are a lot fewer similar songs about males.
Bad in what kind of way Rich? Here's one about a murderous gal you want to keep an eye out for- Frazier Chorus-Prefer You Dead, 1991
If by bad you mean promiscuous groupie, these 2 qualify: Star Collector - Monkees Drusilla Penny - Carpenters Or if bad means a man-stealer (just because she can): Jolene - Dolly Parton Or maybe bad is acting out and rebelling against the folks: Cherry Bomb - Runaways Hello daddy, hello mom! I'm your ch-ch-ch-ch-ch-cherry bomb!