He heard it from a friend who, heard it from a friend who.....
I using MTV as a barometer, and I think Def Leppard takes this kind of easily. Where we run into a problem is that so many of these bands were hugely popular in the mid 80s or the late 80s and so few were popular from 1980-1989. Bringin on the Heartbreak was huge for them in 81. Pyromania was epoch shattering. Hysteria carried them right on through to Adrenalize. That's a run nobody else tops.
ZZTop fits into the conversation. El Loco through Afterburner kept them on MTV and the radio for most of the 80s. They were huge. And while we probably won't consider her rock, Madonna probably had the best run of them all with ST, Virgin, True Blue, Prayer (83-89) (71 million units).