I'm on a mission

I've started doing this thing I heard about on the radio where you combine band names together. Like a before and after clue in jeopardy. So like

johann sebastian bachman-turner overdrive by truckers 

I've seen/come up with about 15.

BUT NOW I have a new goal. My new goal is to come up a band name that loops back on itself infinitely. A perfect ring of a name. For example, the band BTO could be combined with the rapper ODB. And those two could keep being connected. But I'd like to find a three band name combination that doesn't use only initials. This is my quest.