 If you liked
Fruits Basket
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 ...then you might like
Hana to Akuma
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I found the female protagonist similar to one another in both the manga's wherein they are in the center of the plot being a human dealing with issues in beasts and in this case devils world. Even though Female leads are optimistic, simple, and delicate - they are able to help and associate with the other world. Additionally they fall in love with the other species and are determined to stay together forever.