It seems that a handful of Swedish movie theatres have introduced a ratings system based on the Bechdel test. It’s just four movie theatres and they’re known for being purveyors of independent cinema, so it’s not like this is a massive revision of the current age-based ratings system. In fact, this is just a voluntary addition to the existing ratings mandated by the Swedish government. And let us not forget that the Bechdel test was originally created in service of a joke in a comic strip.
The test by itself tells you rather little in exactly how well a movie addresses gender. For example, I think Sucker Punch passes the test, and that movie was so very problematic in how it treated its mostly female cast of characters. But hey, it’s something.