Psychometrer Eiji (1997)

High schooler with abilities (though not supernatural in QED) turned detective.
Both dramas give out very similar feeling.

Psychometrer Eiji is one of the dramas that Tsutsumi Yukihiko directed before Keizoku. Its also the drama that influenced the creation of Keizoku the most. Psychometrer Eiji is almost like a prototype for Keizoku and you can see the characterization and plot points that would be reused.

Both are police dramas with a psychometrer ML .
Psychometrer Eiji is now old so it might be difficult to find the drama but I strongly recommand the manga.