I remember NRPS now that you mention it. Now I’m feeling even older. 
Ray Benson’s band “Asleep At The Wheel”
Brooker T and the MGs, MG stood for Memphis Group.
keith: I remember hearing the same thing. A bit of research disclosed that the band decided to name themselves after a member’s MG (Morris Garages) car. The record company (Stax) invented the Memphis Group story to avoid a possible lawsuit by BMC (British Motor Corporation).
How about
Mike and the mechanics
Cadillac angels
el caminos
Fabulous thunderbirds
Flying lotus
black rebel motorcycle club
Kaiser chiefs
rangers
There’s also the recently deceased Mississippi bluesman T-Model Ford.