What was the top-rated TV show in 1960? July 18, 2020September 24, 2011 by Pamela Landy “Gunsmoke” (CBS, 1955-75) was the top-rated TV show in 1960. Related Answers What was the top-rated TV series in 1980? What was the top-rated TV program in 1950? What was the top-rated TV program in 1970? What was the top-rated TV program in 1990? From what show was “The Andy Griffith Show” (CBS, 1960-68) a spinoff? What spinoffs did “The Andy Griffith Show” (CBS, 1960-68) spawn?