 If you liked
Uta∽Kata
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 ...then you might like
Brigadoon: Marin to Melan
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Both anime involve a girl with a normal life, but once they meet a friend who comes from an unexpected place, their lives begin to change. Both shows get darker and more serious as they progress, and they both show main characters who have to deal with hardships and difficult situations. Uta Kata is a mahou shoujo, and Brigadoon has mecha influences.