[citation needed] He is chiefly remembered for his fantasy films, which include Jason and the Argonauts (1963), The Three Lives of Thomasina (1963), One Million Years B.C.

Concurrent with his theatrically released films, Chaffey directed episodes of numerous British television series, including multiple installments of Danger Man, The Prisoner, and The Avengers.

From the 1980s until his death, all of his work was in American made-for-TV movies, and in such TV series as Fantasy Island, Stingray, MacGyver, Vega$, T. J. Hooker, Matt Houston, and Charlie's Angels.

Chaffey began his career in the art department of Gainsborough Pictures where he worked as a draftsman on Madonna of the Seven Moons (1945), The Rake's Progress (1945), and Caravan (1946).

He interspersed these with features like A Question of Adultery (1958), The Man Upstairs (1958), Danger Within (1959), Dentist in the Chair (1960), Lies My Father Told Me (1960), and Nearly a Nasty Accident (1961).

[2] He directed Greyfriars Bobby: The True Story of a Dog (1961), then A Matter of WHO (1961), a version of The Prince and the Pauper (1962) for Disney, and The Webster Boy (1962).

[7] He eventually focused almost exclusively on episodic TV: Vega$, Charlie's Angels, Strike Force, Fantasy Island, Gavilan, The Renegade, Lottery!, Hotel, Matt Houston, Finder of Lost Loves, International Airport (1985, a pilot), Spenser: For Hire, Hollywood Beat, Airwolf, Hunter, Outlaws, MacGyver, Stingray and Mission: Impossible.