Her debut as a film producer, she gave in 1983 with the film The Honorary Consul, a literary adaptation from the novel by Graham Greene. Four years followed with Empire State - The Night of the decision her second film. In 1988 she produced the film Buster, the screen debut of singer Phil Collins. In the same year the film drama Dangerous Liaisons was born. For this film, Heyman was nominated together with Hank Moon Jean 1989 for an Oscar. They also produced the film Burning Secret with, among others, Klaus Maria Brandauer in the lead role, which was being awarded the Bavarian Film Prize.
Also in the 1990s, Norma Heyman was active as a producer. It originated among its employees ... and movies like The Innocent (1993 ), The Secret Agent (1996) and also the 1996 Horror film Mary Reilly. In 2000 she produced the staged by Paul McGuigan film Gangster No.. 1, 2004, she was honored at the British Independent Film Awards the Special Jury Prize in the following year she was awarded with the London Critics Circle Film Awards the 25th Silver Anniversary Award. In the same year came with Mrs. Henderson presents her last film to date as a producer. It was not until she performed with The Thirteenth Tale again in appearance.