Here's a few that haven't been mentioned already. There's lots of great music from that era that I like.
Buddy Holly - Peggy Sue
Johnny Cash - Folsom Prison Blues and I Walk The Line
The Everly Brothers - Bye Bye Love and Wake Up Little Susie
Bobby Darin - Splish Splash
The Coasters - Charlie Brown

"Rock and roll's been going down hill ever since Buddy Holly died." quote from the movie American Graffiti.