BMX Bandits - Kylie's Got A Crush On Us
Beach Boys - Barbara Ann
Doesn't reference artists directly, just a song, love the line "I saw Peggy Sue and I knew she wouldn't do"
...and an interesting one to finish, 80's band Boys Don't Cry put a track called "The Cure" on the b-side of this.
I've checked the thread and I think all of these are missing so far:
We'll start with a tenuous one as they got her to sing it:
Groove Armada - Song For Mutya
Eddie Cochran - Three Stars
A sad one this, Eddie's tribute to Buddy Holly, The Bog Bopper and Richie Valens when they died in that...