In 1960, Conway appeared as Lt. Charles Williams in the episode "Absent Without Leave" of the ABC/Warner Brothers western series, Colt .45, starring Wayde Preston. Tyler McVey was in the guest cast as Col. Ben Williams, and Steve Brodie also appeared in the episode. He also appeared in 1960 in three episodes under the names of different characters on the ABC/WB crime drama, Bourbon Street Beat, starring Andrew Duggan. In 1966 Conway made an unsuccessful television pilot Assault!, made by the producers of Combat! about the US Marine Corps in the Pacific in 1942.
His other film credits include Young Guns of Texas (1962), Black Gunn (1972), The Farmer (1977), Once Is Not Enough (1975), American Ninja 2: The Confrontation (1987) and Liberty & Bash (1989). He also starred in Woman's Story (2000), which he also wrote and directed.
Conway starred with Bette Davis in the 1972 television movie The Judge and Jake Wyler. In 1973, Conway was featured in Playgirl magazine's August issue. He also guest-starred as the murder victim in the 1973 Columbo episode "Any Old Port in a Storm".
Conway and his Burke's Law co-star Gene Barry remained close friends until Barry's death in late 2009.
