I personally prefer the Kung Fu ,Sword and Samurai movies that come out of Asia but do also collect some horror ,bullet ballet (gangster) and comedy films from that region. I can definitely recommend the following without reservation.
Ichi the Killer ( grusomely inventive as only the japanese can be)
Audition (fiendishly sadistic)
Old Boy (totally riveting revenge movie)
Visitor Q (twisted ,funny ,disturbing and dysfunctional Japanse family ,incest,murder and gallons of breast milk )
Versus (Zombies with Samurai Swords, says it all )
Azumi (Cute Japanese girl trained as deadly samurai assassin, films climax has her chopping up 50+ enemies,

Infernal Affairs (excellent as cops and triads infiltrate each others organisations)
Ong Bak (outstanding, Thai kick boxing in the street,amazingly made without the use of any special effects)
The Warrior (excellent Korean historical epic, great battle scenes)
Arahan (Korea's answer to Kung Fu hustle ,just as funny but more brutal)
If you can't get the downloads all of the above are available from HMV.
Judge quote "films out of the orient are usually worth a watch, unless they done like monkey, where the mouth moves and the english comes sometime after

I NEVER watch films in dubbed format ,subtitles can be a pain at times but dubbing is guarenteed to turn any film into a farce.