+1 to everyone else's recs!
w/ supernatural aspects:
Bring It On, Ghost!
Psychometrer Eiji
Wu Xin: The Monster Killer
W - Two Worlds (fantasy not supernatural, but similar)
Opas: The Series Season 1
w/out supernatural aspects:
White Christmas
Cruel City
Wild Heroes
Crime Squad
Evil Minds
Gap Dong
Hidden Identity
Joker Yurusarezaru
Local Hero
Remember – War of the Son
ST ~ Aka to Shiro no Sousa File
S - Saigo no Keikan
Three Days
movies:
Kids (supernatural/crime-ish/some romance)
Shikaku Tantei Higurashi Tabito
The Gifted Hands