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I went to the cinema there and saw The Visitor, (扉をたたく人 in Japanese), which came out in 2007 but whose lead actor, Richard Jenkins, was nominated for the best male actor Oscar in 2009. It's fiction, and talks about immigrants and the recent changes to immigration and foreign policy, especially pertaining to treatment of Middle Easterners. The movie uses a personal story to skillfully illustrate the mess of contradictions that is the U.S. in all its utter beauty and atrociousness.
Looking at the cinema's upcoming lineup, it seems like they have a good handful of carefully selected flicks that won't be showing at your local Warner Mycal.