Speaking of books, I guess a bunch of writers would fit the OP’s terms; once you hit a certain level of name recognition, ‘celebrity status’ seems like the right phrase.
Like, take Arthur Miller: he was famous in the '50s, as the guy with Marilyn Monroe on his arm and a Tony for The Crucible – but maybe he was already famous in the '40s, as the college grad who’d won a Tony for Death Of A Salesman.
At that, by '49 Sinclair Lewis had already picked up a Yale degree and a Nobel Prize, and adapted his It Can’t Happen Here into a Broadway play, and Arrowsmith had gotten an Oscar nomination (with his name touted on the poster).
Likewise, how else were they going to shill the Oscar-nominated film of Our Town other than by putting Thornton Wilder’s name out there? So that’s another Yale grad, who also did prominent stuff on Broadway; or how about another Nobel Prize winner: prominent poet and playwright T. S. Eliot, who’d of course graduated from Harvard before heading to Oxford?
Which – you know, I’d been hesitant to mention Brits due to, uh, impenetrability; but, hey, maybe I should be hesitant to mention writers, so I’ll use Oxford as the jumping-off point to offset one another by putting an actor amidst the authors: Donald Crisp. “The first Oxford graduate to make it in Hollywood was Donald Crisp,” says Oxford itself, apparently; and who, before winning an Academy Award for his acting in How Green Was My Valley, was pretty much all over the place: playing Ulysses S Grant in Birth Of A Nation, and then getting top-billed as Leif Ericsson in The Viking, and directing a Douglas Fairbanks picture in between; and, granted, since the roles of Elizabeth and Essex were going to Bette Davis and Errol Flynn in The Private Lives of Elizabeth and Essex, he came in at fourth as Francis Bacon behind Olivia de Havilland; and fourth, after Spencer Tracy and Ingrid Bergman and Lana Turner, in Dr. Jekyll and Mr. Hyde; and fourth in a Katharine Hepburn movie, and fourth in a Jimmy Cagney movie; and so on, and so on.
Anyhow, if he for some reason doesn’t count, I’ll gladly mention more writers who earned college degrees and became household names, from Tennessee Williams to Thomas Wolfe – but if they don’t count, I figure Crisp does.