Richman's first big role was in the hit 1986 drama film River's Edge as Tony, he also starred in 2 other films that year, Thrashin' and Modern Girls. He appeared in the 1987 film The Allnighter and the 1988 sequel film, Fright Night Part 2. In 1989, he played a role in the cult film Heathers. His other films include Kiss Kiss Bang Bang (2005), The Education of Charlie Banks (2007) and a minor role in Oliver Stone's Natural Born Killers and Adam Collis Sunset Strip.