American League Saves Champion: 1988 and 1992

American League Championship Series MVP: 1988

American League MVP: 1992

American League Cy Young: 1992

1989 World Series Champion

MLB All-Time Team

American League Rolaids Relief Man of the Year Award

300 Saves Club

Retired Number for Oakland Athletics (43)

Baseball Hall of Fame Class of 2004

In 1999 ranked Number 98 on The Sporting News list of 100 Greatest Baseball Players