Land of the Blindfolded (manga)

Cheerful high schooler Outsuka Kanade has a secret: when she touches people, she can sometimes see a glimpse of their future. Kanade learns that new student Naitou Arou has a secret as well--he can see the pasts of people and objects he touches. Arou and Kanade must decide whether to risk humiliation and rejection by helping the people they see in their visions, or do nothing. The appearance of Namiki Masahiro, a boy who uses his ability to see the future for selfish ends, further complicates matters, especially since both he and Arou are in love with Kanade.

Kanade is a cheerful girl who sometimes sees people's near future when she touches them. She meets Arou, a boy who can see people's pasts and they start dating. Another boy comes in who can see the future too, Namaki-san. He likes Kanade as well. Together the three of them meet various people and deal with their strange powers.