Contouri has had starring roles in Australian films and played guest and recurring roles in various television series. Television roles including nurse Tracey Wilson in the soap opera Number 96 in 1974-1975. In the story Tracey was ultimately revealed to have been a sado-masochist and a serial killer, the infamous "Pantyhose Strangler".
She later appeared in The Sullivans as Melina Tsangarakis, who married Norm Baker before her death by firing squad. Contouri appeared in US daytime soap opera General Hospital in 1988 and played a guest role in Australian teen soap E Street in 1993.
She played a main role in sex comedy film Alvin Purple Rides Again (1974), and later had a guest role in the Alvin Purple television series produced in 1976. Contouri had starring roles in horror-suspense films Thirst (1979) and Snapshot (1979). Her most recent feature film appearance was in The Wannabes (2003).
Contouri recorded an audio commentary for a 2008 DVD boxed set of 32 Number 96 episodes, entitled The Pantyhose Strangler.