 If you liked
Kimi ga Uso wo Tsuita
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 ...then you might like
Fantasm
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A girl who has a supernatural ability to see dark shadows on people. In Kimi ga Uso wo Tsuita, she sees shadows whenever somebody lies, and in Fantasm she sees monsters/shadows when someone has negative emotions (angry, jealous, etc.)
Fantasm is more focused on the supernatural part, while KgUwT is more focused on relationships.
Also, both cases have a girl who has been abandoned by her parents, and her brother becomes her guardian, although while KgUwT there actually IS a relationship between the two of them, in Fantasm it is only hinted that the brother has a sister complex