[citation needed] He acted in two adaptations of A. J. Cronin's novels, The Citadel (1938) and The Stars Look Down (1940), in addition to appearing in The Lady Vanishes (1938) and Under Capricorn (1949).

[7] Other roles were in Storm in a Teacup (1937), The Weaker Sex (1948), 23 Paces to Baker Street (1956), Dangerous Moonlight (1941), Swiss Family Robinson (1960), and I Was Monty's Double (1958), as well as the comedies A French Mistress (1960), The Ladykillers (1955), The Man in the White Suit (1951), The Court Jester (1955) (in which he played an evil, usurping king of England), Indiscreet (1958) and I Believe in You (1952).

[8] Parker was also the original Charles Condomine in the West End production of Noël Coward's Blithe Spirit.

[8] On November 20, 1950, he co-starred with Margaret O'Brien in "The Canterville Ghost", on Robert Montgomery Presents on TV.

[12] Parker was married to Muriel Anne Randell-Brown (born in Seacombe, Cheshire),[3] from September 1927 until his death in 1971, in Brighton.