Some celebs have who created great public personas (personae?), often with no relation to their actual persons:
Boy George
Madonna
Marilyn Manson
Andy Kaufman
David Byrne (honorable mention)
Don’t necessarily like them, but admire their creations.
Joe Bob Briggs
Alice Cooper
Elvira
Pee Wee Herman
Guido Sarducci
David Bowie…Like that wasn’t a given… 
David Lee Roth (old-timer’s club)
Emo Phillips (I’m hoping that’s not for real!)
Slight Hijack
Isn’t Emo Phillips married to Judy Tenuta? Another interesting persona…
Saturn, I don’t think they’re married any longer.
Speaking of Emo Phillips, his line on Dr. Katz (I used to think the brain was the most fascinating part of the body, until I realized what was telling me that) still cracks me up!