 If you liked
Shigatsu wa Kimi no Uso
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 ...then you might like
Kanojo to Kanojo no Neko: Everything Flows
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They both deal with many of the same themes; maturing, independence, parental relationships, and continuing through life's struggles; a classical soundtrack is used to great effect in both, so feels will be abound because of it. As well as the obvious sharing a black cat who is a pivotal part to both the story and main character.