Heathers, if “fuck me gently with a chainsaw” is appropriate for your household.
Clueless. no caveats.
Mean Girls is probably old enough to be considered a classic at this point.
Singin’ In The Rain? I pretty much hate musicals but it’s great.
The Misfits. Monroe in probably her strongest role. Her interaction with the men might be more interesting than classic Hollywood “the dude sees the woman he wants and gets her.” great introduction to Gable, Wallach, and Clift.
Benny and Joon. could be a sleeper introduction to why Chaplin was so great.
Beetlejuice.
Edward Scissorhands.
Ringwald-centric Hughes movies? not sure they hold up without nostalgia, but Sixteen Candles and Pretty In Pink are the only good movies with a teen girl protag I can think of that aren’t explicitly comedies.
The Last Picture Show. it’s classic cinema but also about young people. Cybill Shepherd and especially Cloris Leachman in strong female roles.
Say Anything
His Girl Friday is a pretty solid choice. I first heard about it because my buddy watched it in his freshman film studies class, everyone loved it in that class. that was the mid 90s, so pretty safe to say young people will like it still. it’s the epitome of a cinema classic, too.
speaking of freshman film studies, The Freshman might work. it’s pretty dude-centric but the love interest is definitely in a role of strength. but your daughter basically needs to see The Godfather or at least be aware of its cultural cachet and Brando’s role beforehand.
The Outsiders. the boys are eye candy to the extreme and the novel was written by a woman so it is lent somewhat of a female perspective even if there’s no female roles to speak of.
The Blues Brothers. nothing teen girl oriented but it is very hard to dislike and also is a very well-made film all around if you wanted to get into discussing pacing, editing, etc (also His Girl Friday great for that).
that’s all I can think of for now.
edit: Earth Girls Are Easy