Robyn Hitchcock: “Superman”
The Kinks: “(Wish I Could Fly Like) Superman”
Donovan: “Sunshine Superman” (also mentions Green Lantern)
Ides of March: “Superman” (Notice a pattern emerging here? Not so many songs about Martian Manhunter.)
I posted about the Ides of March song in the recent “One-Hit Wonders…but it’s the wrong hit!” thread:
“Sunshine Superman” by Donovan (contains the immortal line "Superman and Green Lantern don’t got nothing on me)
“Pocketful of Kryptonite” by the Spin Doctors
“Superman” by REM
“Rapper’s Delight” by the Sugar Hill Gang (featuring an extended section about Superman and Lois Lane)
“Aquaman” by Skavoovie and the Epitones
“Batman” by Skavoovie and the Epitones (actually a big-band ska cover of Danny Elfman’s orchestral Batman theme, if that counts)
“Captain” by MU330 (a ska-punk epic about Captain America coming out of retirement and getting back into shape to face the Red Skull one last time)
“The Joker” by Steve Miller Band (OK, that’s pushing it)
The band Ookla the Mok has several, including “Secret Origins,” “Arthur Curry” (a song about Aquaman), and “Stop Talking About Comic Books Or I’ll Kill You,” as well as similar fanboy-friendly tunes like “View Master” and “Tiberius Rising” (about Captain James Tiberius Kirk).
There’s some song in the current generation of pop-tarts that mentions something about a wish to be like Supergirl. I think it’s the one with “…catch me right before I hit the ground…” in the chorus.
That same Barenaked Ladies song, “One Week,” also mentions Aquaman, come to think of it.
The Wu-Tang Clan are all big comic book fans, but I’m afraid I don’t know their stuff well enough to list references in songs. I do know that Method Man also uses the name Johnny Blaze (the original Ghost Rider’s secret identity), and another ex-Wu member has gone by Tony Starks (aka Iron Man in the comics). A more recent underground rapper, D-Bugg, has used the alias Ted Chord, which is a reference to the late Blue Beetle’s secret identity of Ted Kord plus a musical pun. Then there’s MF Doom aka Viktor Vaughn (referencing Dr. Doom) and a former “split personality” of rapper Kool Keith, Dr. Dooooooom (who killed another one of Keith’s personas, Dr. Octagon).