Suzanne Vega popped up on my music thingy with Blood Makes Noise ("I'd like to help you doctor Yes I really really would But the din in my head It's too much and it's no good") and it got me wanting a complete, exhaustive, absolutely-every-such-song-ever list of songs referencing doctors.

Robert Palmer — Bad Case of Loving You (natch)
Motley Crue — Dr Feelgood (obvs.)
Suzanne Vega — Blood Makes Noise (as per above)

and...?