The study included only references made 25 years after a film's release to ensure long-term influences.
The films with the most long-lived influences were The Wizard of Oz, Star Wars, Psycho, Casablanca and Gone with the Wind.
The study, published in the Proceedings of the National Academy of Sciences, analysed the 15,425 US-produced films listed in the Internet Movie Database to see whether there were any ways to predict whether a film would get on to the US National Film Registry of the Library of Congress.
It analysed 42,794 citations in the film database that connect one film to another, such as the dialogue about not wanting to be with a man who runs a bar in Casablanca in the 1989 film When Harry Met Sally, referencing the 1942 film Casablanca, starring Humphrey Bogart and Ingrid Bergman.
The scientists found big box office returns, Oscar wins and good reviews were not a reliable guide to long-term success.
"Ultimately it is the creators, the film-makers themselves, who will determine which movies are important," Amaral said.