 If you liked
Fruits Basket
|
 ...then you might like
Inari, Konkon, Koi Iroha.
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Both female main characters get mixed up in the troubles of supernatural people/beings, while at the same time have to confront their inner troubles and discover who they really are, and what they are meant to do.
Both strike a balance between serious themes and light-hearted comedy, but never smother you in either.
A modern setting involving a young girl with gifted abilities - both Fruits Basket and Inari, Konkon, Koi Iroha. carries these themes and presents them at a credible level.
The main female protagonist is shy yet kind and caring towards others. They have a complex relationship with some of the characters but develops them as the series progresses.
There is romance, drama, and comedy genres that fits with both series. Progression wise, they have a slow yet steady pacing.