In 1970, he and director Alan Parker established an advertising company, which brought the pair domestic and international awards.
Marshall and Parker's first feature film, the 1976 musical Bugsy Malone, garnered critical success, achieving eight British Academy Award nominations.
The pair followed their successful feature film debut with the 1978 neo-noir drama Midnight Express, written by Oliver Stone, with David Puttnam joining the producing team.
The film was nominated for six Academy Awards, and took home Oscars for best screenplay and best original score.
Marshall has been the producer for other features such as Homeboy, Jacob's Ladder, Basic Instinct and Hollow Man.