Greco performed the vocal theme to the 1972 film Something to Hide, "How Can We Run Away (Theme From Something to Hide)", which was composed by Roy Budd (uncredited on the film).
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On New Year's Eve 2011 he made a guest appearance on Jools Holland's Hootenanny singing Fly Me to the Moon backed by the Jools Holland Rhythm & Blues Orchestra.
It was first broadcast on October 24, 1959 and ran in syndication for slightly more than one year with a second season starting on September 9, 1961 with Jack E. Leonard, Anita O'Day, Buddy Greco, and George Wein.
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Tony Bennett's 1963 recording remains the best known version of the song, (#14 pop, #5 easy listening); however, it has been recorded by many other artists, including Dorothy Loudon (in her album "Saloon"), Patti Page, James Brown, Buddy Greco, Dinah Washington (for her final album Dinah '63), and John Cale (for the 2002 album Jools Holland's Big Band Rhythm & Blues).
Artists who recorded for Musicraft include singer Mel Torme, vocalist Sarah Vaughan, Duke Ellington, bebop comic Harry "the Hipster" Gibson, pianist Teddy Wilson, blues pioneer Lead Belly, poet Carl Sandburg, Dizzy Gillespie, Georgie Auld, Artie Shaw, Buddy Greco, Billie Rogers, and others.