Psychometrer Eiji (1997)

Eiji, an average high school student, and his 2 friends stumble onto a crime scene. When he touches something with one of his hands, he is able to receive brief impressions of the past of the object - psychometry. Determined to solve crimes, a woman detective finds out about his ability and tries to persuade him to use it, even resorting to food bribes for he and his friends.