He worked with Milton Berle, Danny Kaye, and Henny Youngman, and danced with Sammy Davis Jr.[3] Bexley was the first black stand-up comedian to do the hotel circuit in the Borscht Belt.

Foxx convinced Bud Yorkin and Aaron Ruben to hire Bexley to play one of Fred G. Sanford's friends.

Bexley reprised Bubba in the short-lived sequel Sanford Arms, which had many of the same characters but not Foxx and Demond Wilson.

In the episode, "New Beginnings", Bexley made a special guest appearance as an old friend of Al Royal's (Foxx) who attends his funeral.

Clarence Williams, Sr., a friend of Bexley, said the actor had completed several scripts, but he knew of no current plans to produce them.

[14] Since moving to Hampton, Virginia (before that, he resided in the San Fernando Valley) during the 1990s, Bexley was still quite active, always working on new ideas for shows and live performances.

[3][15] Bexley made personal appearances and signed autographs on many occasions, including the Newmarket Fair Day-Talent Show in September 1996, and the Aberdeen Athletic Association in June 1996.