The Rocky and Bullwinkle Show is an alternative name for two separate American television animated shows : Rocky and His Friends ( 1959 â `` 1961 ) and The Bullwinkle Show ( 1961 â `` 1964 ) . The Rocky and Bullwinkle Show is the collective name for two American television animated cartoon series : Rocky and His Friends ( 1959 â `` 1961 ) and The Bullwinkle Show ( 1961 â `` 1964 ) .