Remakes and adaptations are a timeless part of storytelling though. Having a template for a popular story with the freedom to adapt it to a new time period and audience is how we transmit our culture. For example:
Pygmalion (Greek myth) -> Pygmalion (Shaw play) -> My Fair Lady -> She's All That
Hamlet -> The Lion King
The Odyssey -> O Brother Where Art Thou (and countless others)
Emma (Jane Austen) -> Clueless