What awards has Barry Bostwick won? Barry Bostwick has won the Tony Award for Best Performance by an Actor in a Leading Role in a Musical for The Robber Bridegroom and also for Grease.

Meanwhile, Barry Bostwick (better known as Brad in "The ... For the latter, Travolta received an Oscar nomination, while "Grease" would make him a superstar. "Saturday Night Fever" and "Grease ...