Late 1970s television appearances include soap opera Number 96 (in 1976), and police procedurals Bluey and Cop Shop.

Curran was a recurring cast member of soap opera The Restless Years (1977–1981), playing the scheming Jean Stafford.

[citation needed] Other roles include feature films Heatwave (1982), The Delinquents (1989), The Boys (1998), Japanese Story (2003), Somersault (2004), These Final Hours (2013), A Few Less Men (2017) and Brothers' Nest (2018).

[citation needed] For her appearance in Somersault she won the 2004 AACTA award for Best Actress in a Supporting Role.

[9] Curran is often mistaken for good friend and fellow Australian actress Jacki Weaver, whom she has previously worked with, most notably in the 2008 Ensemble Theatre production of Derrida In Love.