Again and again, a disclaimer first. Yes, superhero movies are mostly already problematic. Lots of violence, lots of sexism. But being part of the popular culture, some inspiration can be drawn from the genre. Assuming you'd be obliged to look for superheroine movies, here is our take on those.
First of all, the stereotypical. Say hello to Kick-Ass (2010) and Kick-Ass 2 (2013). Apart from the extremely tough character of Mindy Macready / Hit-Girl there's not much going on for these movies. Flat, explicitly violent (rated R both of them) and quite boring. Gender-based jokes are less than tasteful and the whole genre could be classified as traditional superheroes meet mean girls.
Anyways, you may want to bear through those just to realize how bad the superhero thing is when it comes to heroines*.
And this is the place where the invitation to go back to our childhood goes. Powerpuff Girls (1998-2005) as a somewhat healthy alternative. In order to convince you, the laborious people of buzzfeed.com have compiled a whole list of the reasons why "The Powerpuff Girls Could Have Replaced Your Gender Studies Class". Some of the reasons include, obviously, the fact they do not fit the "sugar, spice and blah-blah stereotype", had a male primary caregiver, did (together with many other characters) drag and dress-up, etc. And they fought patriarchy -in their cutesy and drawn baby-girl way - as they fought villains.
* Yes, Hunger Games are on and will be featured eventually. No, Catwoman or other female characters from different Batman movies do not count. The saddest of recent takes on women and superpowers ever was probably Watchmen (2009).