 If you liked
Suzumiya Haruhi no Yuuutsu
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 ...then you might like
Medaka Box
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Both feature a girl who aspire to go as high as possible, and both are not normal, and have a boy they like by their side.
Haruhi has supernatural powers, and can change the world on her whim.
Medaka changes people with her superhuman abilities.
In short, the 2 of them "can do everything".