Buxton's acting career extends from summer theatre in Three Men on a Horse with the legendary Buster Keaton at age 19.

His first TV credit was as host and producer of the ABC television documentary series, Discovery co-hosted by actress/singer Virginia Gibson from 1962 to 1966.

In 1966, Buxton teamed up with Hal Seeger in the animated cartoon series Batfink, providing the voice for the title character in all 100 episodes, as well as its recurring villain Hugo A-Go-Go.

He served as a story editor for the comedy anthology series Love, American Style, in addition to writing and directing episodes of The Odd Couple, Happy Days and Mork & Mindy.

Buxton also created, wrote, produced and directed the television series Hot Dog for NBC, which starred Woody Allen, Tom Smothers, Jonathan Winters, and Joanne Worley.