Magical Girl in case you may not be aware, its a form of fantasy where girls are often chosen to have magical superpowers (often with alter egos). With much of the main plot being around stopping the bad guys and saving the world.
I think you left out its main feature, which is the henshin or transformations with their characteristic sequences.
Well, someone already beat me to it, it was precisely this genre that I had in mind for the next post.

I like Mahou Shoujo, however I haven't seen many, curiously it's an iconic genre with big franchises representing it, also as a fun fact almost all the typical otakus that are shown in anime happen to be fans to some anime parody or reference to this genre [mainly referencing
Precure], however the genre is quite scarce lately.
Next to Precure the most iconic are probably Madoka and Sailor Moon.
and
madoka is undoubtedly a masterpiece, a series that revolutionized the general idea of mahou shoujo.
it's funny that as popular as this franchise is, it has so little anime so far, although it seems that shaft is getting a little bit more involved with this franchise lately.
I'm excited to see the first previews of
Mahou Shoujo Madoka☆Magica: Walpurgis no Kaiten,
shaft is practically my favorite studio, akiyuki shinbo one of my favorite directors and Yuki kaijura my favorite composer and all of them are thanks to Madouka Magica, to see all of them and the great scriptwriter Gen Urobuchi come together for another madoka project and especially a movie is mind-blowing.
I know this movie is going to be amazing
However, another mahou shoujo that captivated me when I saw it was
Mahou shoujo Site, although it has some points of criticism, I think the anime is quite good and has an excellent production.
and the opening of this series is excellent
the genre has felt stagnant in the same franchises in the last few years, I hope the release of the madouka movie will give some impetus to new mahou shoujo projects in the future. [well this could also be my idea, as I said I haven't seen many mahou shoujo so I'm not really sure]