I can't believe all the variance on these lists. Mine would be almost entirely Beatles, Sleater-Kinney and Smiths songs!
edit: I made a quick list. In no order and in no way definitive, just off the top of my head, and still more than half songs by the above artists...
Ronettes - Be My Baby
Darlene Love - Christmas (Baby Please Come Home)
Madonna - Rescue Me
Trina - Da Baddest Bitch
Lil Kim - Queen Bitch
Smiths - Some Girls Are Bigger Than Others
Smiths - Still Ill
Smiths - Rubber Ring
Morrissey - Jack The Ripper
Morrissey - Seasick, Yet Still Docked
Sleater-Kinney - The Ballad of a Ladyman
Sleater-Kinney - Was It A Lie?
Sleater-Kinney - The End of You
Le Tigre - I'm So Excited
Le Tigre - LT Tour Theme
Beatles - Run For Your Life
Beatles - Things We Said Today
Beatles - Something
Beatles - You've Got To Hide Your Love Away
The Cure - Boys Don't Cry