If you liked
Fruits Basket
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...then you might like
Princess Tutu
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it has the same sort of opening song and its about romance triangle
Both series are cheerful and funny in a sometimes bizarre way, but with an underlying tone of unpleasantness throughout the series.
Both lead girls are sweet, earnest, friends-to-all and the shows share the same atmosphere: light, fun, but angst/drama at the right moments. The romance dynamic is also very similar.