 If you liked
Mai-HiME
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 ...then you might like
Cross Ange: Tenshi to Ryuu no Rondo
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What both these series have in common is an unforgettable soundtrack, a ton of material for yuri-shipping and the constant, breathtaking action. The protagonists Ange and Mai are similarly forced to grow stronger in order to cope with a harsh environment. Both series have a large and varied cast that'll make you get attached to at least a few characters. Both also have girls fighting either beasts or other girls.