Brad Pitt
Jolie's soon-to-be ex-husband isn't any different.
Aside from not being on Twitter — like pretty much every other person on this list — Pitt has explicitly said that he doesn't know how computers work and doesn't want to participate in what he calls "the publicity machine."
"There's this whole other entity that you get sucked into," he told Newsweek in 2009. "You have to go and sell your wares. It's something I never made my peace with."