An honorary life member of the Australian Writers' Guild, Hugh Stuckey worked on such programs as In Melbourne Tonight, The Gordon Chater Show (1968), A Country Practice (1981-85), Glenview High (1977), Hey Dad (1988-89), Blue Heelers (1994) and Neighbours (1996-01). His career also saw him work successfully overseas, with his credits including a number of British and American television shows. One of his most popular series was the 1977 situation comedy No Appointment Necessary (starring Roy Kinnear) which was broadcast throughout the United Kingdom by the BBC. Other popular UK comedy shows with which he has been associated include The Two Ronnies (1971) and The Howerd Confessions (1976).
In addition to his television comedy/drama scripts Stuckey wrote short documentaries, promotional films and advertisements for a diverse range of organisations, including Australian folk/pop band The Seekers (The Seekers Down Under and The Seekers at Home), two television specials from the 1960s; the Australian Dairy Produce Board (Once Upon a Cheese), a promotional film explaining how Australian cheeses complement Australian wines (ca. 1970s); pharmaceutical company Merck, Sharp and Dohme (Prostate Disease and Suffer in Silence, ca. 1994); and the Disability Programs Division of the Department of Human Services and Health (Continence Aids Assistance Scheme, ca. 1995).
Over the years, Stuckey also wrote comic material for Australian comedians including Graham Kennedy, Joff Allen, Rosie Sturgess, Bert Newton and Americans Dick Van Dyke and Andy Griffiths. He also wrote much of the material for British comedian Tony Hancock's 1972 Australian TV special.