Yes, the word we are searching for is contemporary. Technically all films are modern, but not contemporary. Though modern has expanded definition to include it generally as well but I like to explore language :)
To me, modern says more about the techniques and methods used. In that respect, not much has changed even though 25 years has passed. Even stylistically it is more similar to a current film than one filmed 25 years before its release, i.e. mid 1970s.
As someone else said, contemporary is a better word for describing its age than modern.