The Jackie Gleason Show' The four letter answer to the crossword clue 'Name Sitcom 1950s' is DESI, which refers to the classic American television sitcom 'The Jackie Gleason Show'. The show aired from 1952 to 1970 and starred comedian Jackie Gleason as a variety of characters. It was one of the most popular shows of its time and featured a mix of comedy sketches, musical numbers, and guest stars.