United Artists finally agreed to finance his Red Baron project, although they asked it be given emphasis on American characters. Accordingly, it was filmed as Von Richthofen and Brown (1971), shot in Ireland in July 1970. There were several plane crashes during filming and one person died.
In May 1970, Corman founded New World Pictures which became a small independently owned production/distribution studio, and were an immediate success with Angels Die Hard (1970), a biker film, and The Student Nurses (1971), directed by Rothman. The Big Doll House (1971), directed by Jack Hill in the Philippines, was a big hit, making a star of Pam Grier. The company made a profit of $3.2 million in its first financial year and Corman says all eleven out of his first eleven films were successful. Angels Die Hard led to a series of biker films, including Angels Hard as They Come (1971), produced by Jonathan Demme with Jack Fisk working as art director. Bury Me an Angel (1971) was the first biker movie directed by a woman, Barbara Peeters. Corman financed the directorial debuts of Curtis Hanson, Sweet Kill (1971), produced by Corman protege Tamara Asseyev. Student Nurses led to a "cycle" of nurse pictures, including Private Duty Nurses (the first film directed by George Armitage), Night Call Nurses (1972) (the first feature directed by Jonathan Kaplan), The Young Nurses and Candy Stripe Nurses (1975). There was also The Student Teachers (1973) and Summer School Teachers (1974). Big Doll House was followed by a series of women in prison pictures, such as Women in Cages (1972), The Hot Box (1972), Black Mama, White Mama (1973), The Arena (1974) (the first film directed by Steve Carver) and Caged Heat (1974) (the first film directed by Demme). Of New World's second year, Corman says 11 of the 12 releases were successful. Corman produced one more film at AIP, Boxcar Bertha (1972), the second feature directed by Martin Scorsese, starring David Carradine. He also executive produced Unholy Rollers (1972) for AIP. A proposed political satire, The Wild Political Prank, was not made. He made I Escaped from Devil's Island (1973) with his brother and produced Cockfighter (1974) with Monte Hellman, which was a rare financial failure for New World. A big hit was Big Bad Mama (1974), a gangster film directed by Carver and starring Angie Dickinson. It led to a follow-up, Crazy Mama (1975), produced by his wife and directed by Demme. In 1975, Corman said New World was "the most successful independent film company in the country...if you count AIP as a major". He said they were "the best of the cheap acts."
Corman married Julie Halloran in 1970. They have four children. On April 3, 2018, a lawsuit by Corman's sons, Roger Martin Corman and Brian Corman, was filed against Corman to prevent the trade of his film collection. It was later dropped.