She subsequently had a starring role in Robert Zemeckis's comedy I Wanna Hold Your Hand (1978), followed by a supporting part in Steven Spielberg's 1941 (1979).
Allen went on to collaborate with De Palma on several other films in the 1980s, including Home Movies (1980), the erotic thriller Dressed to Kill (also 1980; for which she was nominated for a Golden Globe Award), and the neo-noir Blow Out (1981).
In 1984, Allen appeared in the science fiction film The Philadelphia Experiment, and later had a starring role in Abel Ferrara's The Gladiator (1986).
Allen was subsequently cast by director Paul Verhoeven in the science fiction thriller RoboCop (1987) as Officer Anne Lewis, a role she reprised in the first and second sequels.
As a result of this performance, the following year, she appeared in the crime film Kiss Toledo Goodbye, as well as the direct-to-video horror sequel Children of the Corn 666: Isaac's Return.