Here's an interesting band that I first saw on a DVD of the TV special 33 1/3 Revolutions per Monkee: Julie Driscoll is the singer, and the band is called Brian Auger & Trinity.
Their big hit was a Dylan cover ("This Wheel's on Fire"), and this clip is a Donovan cover. Driscoll had a great look and voice, and Auger's instrumentals were terrific. I'm not sure why they weren't bigger over here. (Perhaps because psychedelic music was on the outs by the time they hit it big?)
I would say their appearance on the terrible Monkees special (honestly, it was one of the worst things that ever aired on national television) might have killed them, but hardly anyone watched it. (It was on opposite the Academy Awards for chrissakes).