 If you liked
Fruits Basket
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 ...then you might like
Juunikyuu de Tsukamaete
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Zodiac P.I. made me think of Fruits Basket a bit in terms of the shared mystical feel. One is about astrological signs and the other Chinese zodiac animal designations... but both have their own lore about how the date and time of your birth can influence your personality. Though Fruits Basket doesn't really have any detective elements, it does have a mystery to it, and they're also both older shoujo series with strong romances.
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Recommended by Duckielover151
Both are shoujo based supernatural stories with a focus on zodiac symbolism, a cheerful perky female lead as well as elements of romance in it as well too and also lots of cute art and character designs too.
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Recommended by Disapeared_Ghost
Fruits Basket and Zodiac P.I. are two shoujo manga themed around the zodiac—there are characters in FuruBa who turn into one of the 12 animals of the Chinese zodiac, and the main character in Zodiac P.I. has a ring that can help her solve murder cases depending on the Western zodiac sign of the victim. While there is comedy, there also seems to be some amount of tragedy throughout the story.