Of course this question is motivated by the passing of the great Lee Perry. Who else might make such an exclusive list? Note here we are not talking about whether you like the style, the melodies, or whatever. Did the creator come up with a fundamentally new way of organizing our musical universe? (Rolling Stones, Paul Simon, ABBA, many other notables don’t come close here, despite their considerable merits.) Here is the list off the top of my head:
Sun Ra (Monk I count as pre-1960?)
Hendrix and Led Zeppelin?
Rap and electronica, respectively, with arguments as to where the individual credit should go
Kevin Shields/My Bloody Valentine
And of course Lee Perry
Who cares what you like? I would say study them to learn music!
Who else? Kurt Cobain? The Byrds? Someone from MPB? Helmut Lachenmann? Sunn O)))? Others? Anyone else from psychedelic music? Post-1960 Stockhausen and Cage (or did they bloom earlier?)? Scelsi? Can? Bill Evans? Astral Weeks? What else?