He is a key member of Larry Blamire's stock company, playing clueless alien Kro-Bar in The Lost Skeleton of Cadavra and its sequel The Lost Skeleton Returns Again, gullible scientist Dr. Philip Latham in Trail of the Screaming Forehead and monocled English dandy Lord Partfine in Dark and Stormy Night.
Most recently, he mimicked Franklin Pangborn in the comedy short It's a Frame-Up!, the writing/directing debut of Blamire's producer Michael Schlesinger.
In 1971 Parks appeared as Jimmy Duff on "The Men From Shiloh" (rebranded name for The Virginian) in the episode titled "The Angus Killer."
He also appears regularly at Pacific Resident Theatre in Venice, California, in plays such as Happy End and The Quick Change Room.
On other stages, he has played Geoffrey in The Lion in Winter with Joan Fontaine, Ensign Pulver in Mister Roberts, and Tom in The Glass Menagerie.