The Yardbirds/YMMV

Covered Up: Possibly their version of Howlin' Wolf's "Smokestack Lightning"; it certainly became strongly associated enough with them that other bands in the London scene eventually stopped playing it.
Face of the Band: They're probably best known today for having three of rock's most highly regarded guitarists in their line-up at one point or another, but back then Keith Relf was the real face.