During the 1960s Livermore became nationally known with roles in a number of notable Australian films and television programs. His first known TV role was in the early Australian TV adventure series "Whiplash" (1961). He featured in several important ABC television drama productions, playing Ariel in "The Tempest" (1963), and co-starring opposite Tony Ward in "The Rape of the Belt" (1964). During 1964–65 he had a featured role as the alien Vorussa in the pioneering ABC-TV children's science fiction series "The Stranger". Livermore had a prominent role the groundbreaking Commonwealth Film Unit documentary "From the Tropics to the Snow" (1964) and also featured in the historic ABC-TV production of "The Recruiting Officer" (1965), notable as the first play ever performed in the newly founded colony of New South Wales, in 1789. He gained his first starring role in TV as the host of the ABC version of the children's comedy series "Crackerjack" (1966–67), and was a featured cast member for the final season of the satirical sketch series "The Mavis Bramston Show" (1968).