You can’t really escape sexism in most movies but the older the movie, the more likely that the sexism will be overt. Just like the racism in classic films, though, everyone involved in making the films was oblivious to what they were doing.
Nobody was trying to be sexist. They just were. The fact that women weren’t actually delicate flowers who would faint at the slightest provocation didn’t change the fact that women in film were that way. Easiest way to facilitate the monster carrying his victim? Have her faint!
That isn’t really sexism, right? It’s just practical.