Some suggestions.
The underlined films are the ones I recommend the most or are films that have received some praise.
China
Rainclouds Over Wushan (dir. Zhang Ming) - previously on VCD and DVD
Hong Kong
The Stunt Woman/Ah Kam (dir. Ann Hui) - Netflix
Eighteen Springs (dir. Ann Hui) - library, DVD
Away With Words (dir. Chris Doyle) - previously on VCD and DVD
Who's the Woman, Who's the Man? (dir. Peter Chan) - Netflix
Naked Killer (dir. Fok Yiu-leung) - Netflix; a cult flick
Lifeline (dir. Johnnie To) - Netflix
A Hero Never Dies (dir. Johnnie To) - Netflix; not a fan of this, but lots of people like it
Where a Good Man Goes (dir. Johnnie To) - Netflix
The Peace Hotel (dir. Wai Ka-fai) - Netflix
Japan
Shadow of China (dir. Mitsuo Yanagimachi) - VHS, library
Tetsuo: the Iron Man (dir. Shinya Tsukamoto) - Netflix; not a fan, but it's a pretty popular cult flick
Tetsuo 2: Bodyhammer (dir. Shinya Tsukamoto) - Netflix
Slight Fever/A Touch of Fever (dir. Ryosuke Hashiguchi) - Netflix
Kichiku dai enkai (dir. Kazuyoshi Kumakiri) - Netflix
Philippines
Relasyon (dir. Ishmael Bernal) - Netflix
The Fatima Buen Story (dir. Mario O'Hara) - Netflix
South Korea
Taebaek Mountains (dir. Im Kwon-taek) - DVD, YesAsia
Downfall (dir. Im Kwon-taek) - DVD, YesAsia
Motel Cactus (dir. Park Ki-yong; DP: Chris Doyle) - Netflix; great cinematography, not so good movie
Thailand
Bangkok Dangerous (dir. Pang brothers) - Netflix; not a fan, but it's popular
Vietnam
Nostalgia for the Countryside/Nostalgia for Countryland (dir. Dang Minh Nhat) - DVD, VHS, library
I haven't seen Shoot For the Contents by Trinh T. Minh-ha, but it's a possible title to look into. I don't know if it qualifies because she's a Vietnamese-American born in Vietnam and lives and teaches in America, but it's a documentary about China judging from the synopsis.
Lastly, that's a pretty thorough job you guys did with that list. Great work, guys and (gals?).