Bourne was a well-known comedic face throughout the 1980s and 1990s, with an acting role on the Australian version of the British sitcom, Are You Being Served? (in 1980 and 1981). He had regular appearances on the variety program Hey Hey It's Saturday (1988 - 1994) in various sketches, but mainly appeared on the Great Aussie Joke segment. He starred in the short lived sitcom Bingles in 1992 and 1993. In 1996, Bourne hosted a revived Blankety Blanks, which lasted only two seasons.
He dramatic roles, he was in 3 episodes of the drama series Prisoner in the early 1980s as 3 different guest roles. He had a guest role in The Flying Doctors in 1995.
Bourne made a change to dramatic acting and has been critically acclaimed. After a two episode guest appearance on Blue Heelers in 2000, Bourne took the lead role of lawyer "Happy" Henderson, starring alongside Kerry Armstrong in the ABC1 legal-drama series MDA. The show ended after its third season in September 2005. This show won him 2 awards (see below). He also played a minor role in the film Kokoda, an Australia WWII film on the Kokoda Track where he played as the battalion's doctor.
Key: (a)= Winner of Best Performance by an Actor in a Leading Role in a Mini Series
(b)= Best Actor in a Actor in a Leading Role in a Telefeature
(c)= Best Performance by an Actor in a Leading Role, in a Mini-Series or Telefeature
(d)= Best Actor in a Leading Role in a Television Drama or Comedy
(e)= Best Lead Actor in Television
All other names, which aren't marked with a letter next to their name, have won the current Lead Actor in a Television Drama award.