I was a big fan of Asian horror movies, especially Korea their mobie scene all together is pretty good. Probably the best time period was between 1996 through 2003. Then they to went the way of American horror and became gore movies rather then horror.
There are a lot of good ones but the ones that come to mind are - "The Audition", it isnt scary but it is creepy. "The Eye" has some jump moments. "Tale of Two Sisters" might be my favorite Asian horror.
A few of the directors you should stick to are the Pang Brothers, Kiyoshi Kurasawa, and Kim Ji-Woon.
It is a slightly different style in terms of story telling, acting, directing, cinematography. So not everyone will like it. But I did, especially during the horrible American Horror time time frame of the height of the Saws, Hostels, gore flicks in general, and Asian horror remakes such as "The Ring".