[4] Brandon starred in the TV series Dempsey and Makepeace and Dinotopia, the movies Quattro mosche di velluto grigio (1971), F.M.

Since moving to the UK, Brandon has worked in television shows such as The Bill, Trial & Retribution, and Dead Man Weds.

He also played the title role in the musical Jerry Springer: The Opera for over a year in the National Theatre and after its transfer into the West End.

In 2004, he became the fourth American narrator and Alec Baldwin's replacement from the seventh through the sixteenth seasons of the children's television series Thomas & Friends and has also narrated four of the CGI film specials, including Hero of the Rails, Misty Island Rescue, Day of the Diesels, and Blue Mountain Mystery, until departing from the role in 2012.

In 2017, he collaborated with producer/director Guy Masterson to create his autobiographical stand-up comedy, Off Ramps which hit at the 2017 Edinburgh Fringe Festival.