Here's a short set I played recently, stradles most eras. in the order played starting with ....
Cliff Richard - Move It
Brian Setzer - Summertime Blues
Curtis Lee - Under the Moon of Love
Showaddywaddy - Hey Rock 'n' Roll
Racey - Some Girls
others that I find go down well, apart from the stable fodder of Bill Haley, Elvis, Eddie Cochran etc etc are
The Blasters - Marie Marie (Shaking Stevens covered it)
Steve Gibbons Band - Tulane
Buddy Holly - Rave On
Hank Mizzell - Jungle Rock

Refuse to play Jive Bunny, never been asked for either, thankfully