 If you liked
Angel Beats!: Heaven's Door
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 ...then you might like
Classmate, Kamimura Yuuka wa Kou Itta.
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These two stories have a lively female main character who acts and thinks differently from everyone else, namely Yuri for AB! Heaven's Door and Yuuka for Classmate, Kamimura Yuuka wa Kou Itta.
These two stories are set in a world where everything, especially people, is not really what it seems. These titles also have a male main character who has just started realizing the true nature of the world thanks to the eccentric female MC, who discovered the truth first.