All-Time Bands

Just as there are lists of all-time baseball teams (e. g. all-time team from the Dominican Republic, etc.), here's a place to plonk your ideas of all-time bands, or even create a few of your own by grabbing a bassist from here and a drummer from there.

Here's an example: all-time mashup of band members from bereaved bands:

Robert Plant on lead vocals (RIP, John Bonham of Led Zeppelin)
sharing lead vocals is Roger Daltrey (RIP, John Entwhistle and Keith Moon of The Who)
Pete Townshend on lead guitar (RIP, John Entwhistle and Keith Moon of The Who)
Paul McCartney on bass (RIP, John Lennon and George Harrison of The Beatles)
Bill Kreutzmann on drums (RIP, Jerry Garcia of The Grateful Dead)

So -- who are your picks?