These are movies I've rated 9 or 10: I tend to like romantic comedies, thriller, suspense, and Psychological films
Japan:
Akunin: 2010 was such a good year for Japanese films! Fukatsu Eri and Tsumabuki Satoshi are so great together, and just as actors period.
Confessions: more of a Psychological film.
Fish Story: Another strong Japanese film, I can't even explain why this is such a great film without writing an essay lol. Definitely on the top of my list.
I just didn't do it: A nice film that sheds some light on the criminal justice system in Japan. Definitely left an impression on me, I think it is only in a Japanese film that you would find serious social commentary from a film based around a man accused of groping a high school student lol.
Time Traveller: You may have seen the anime film, The girl who leap through time, but I haven't. Its such a good film, and it really gets you at the end if you don't know how it ends already.
Korea:
Memories of Murder: Totally a classic crime/mystery Korean film.
Rainbow Eyes: Another strong crime/Mystery film
About Love: A romantic film with multiple story lines taken place in multiple countries.
Addicted: I think this is debatable because I really like Lee Byung Hun, but I think this is strong for a romance.
Diary of June: there are just some great Crime/Mystery South Korean films.
Everything About My Wife: Another film with two of my favorite actors together, Lim su jeong and Lee sun Gyun. It really ends on great note.
Hong Kong:
2046: This is Wong Kar Wai's sequel to In the Mood for Love. A very art house type of romance.
Chung King Express: Just a classic Wong Kar-wai film. I have to admit though I don't really like any of Wong Kar wai's big budget films...