For Magical Girl we have a term and definition in Anime.

There is some disagreement about the exact definition, but this term is generally used to refer to the genre of stories, geared toward younger (preteen) female viewers, involving a normal schoolgirl who is given magical powers (inevitably involving transformation of some sort) and expected to save the world. Some definitions focus more on the magical superhero-style powers, while others assume that being thrown into an alternate world as a savior is more important. Sailor Moon is the classic example, though the genre has been around since the 70s. The Japanese language version, mahou shoujo, is also occasionally used.
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