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He was nominated for the 1958 Academy Award for Writing Adapted Screenplay for I Want to Live! Among his many television credits are Ironside, for which he wrote the pilot, the original Star Trek (episode "Court-Martial") and the mini-series adaptation of President John F. Kennedy's book, Profiles in Courage.
He was nominated for an Oscar for Best Writing (Screenplay) in 1948 for The Snake Pit (with Frank Partos), an adaptation of Mary Jane Ward's novel, which also involved confinement in a mental health institution.
Film director/producer Norman Jewison made Benchley's 1961 novel The Off-Islanders into a motion picture titled The Russians Are Coming, the Russians Are Coming for which he received the nomination for an Academy Award for Writing Adapted Screenplay.
Sherriff was nominated along with Eric Maschwitz and Claudine West for an Academy award for writing an adapted screenplay for Goodbye, Mr. Chips which was released in 1939.