The Residents: Yes. Unique and influential, that's the winning combination.
Iron Maiden: Yes, I guess. I don't personally like them but I recognize their level of influence.
Jimi Hendrix: Yes, of course. One of the most influential people in the history of rock and also quite unique. Win.
Creedence Clearwater Revival: Sure. Maybe not the most unique or most influential but still a damn good band.
Mission of Burma: Yes. Very influential in formation of indie rock. Also from my home town.
Ludwig Van Beethoven: Yes. Considering we're still talking about him almost 200 years after his death I'd say he deserves to make it in.