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by l_o_c_Archive
Looking at the list of films you've seen and liked, it's probably a pretty good bet you would like Oldboy. Zatoichi, the Takeshi Kitano remake, would probably be right up your alley. Takeshi Miike, also, has some more mainstream style fare that would ease you in.
As for just generally good films, run, joe, run has the idea. Go for directors you like. Some of my personal favorites are Bunuel, Bergman, Godard, and Wong Kar Wai (or Kar-Wai Wong depending on what Japanese name writing camp you belong to).
Since they have a ton of Bergman, I think it might be of import to point out that The Seventh Seal is a slight anomaly in his canon. It is great, no doubt, but usually his films are much more introspective and intimate. If they have it, Persona would be a great next step, or the lesser known but pretty accessible Hour of the Wolf and The Rite are both almost comparable to something like David Lynch.