The Departed
Usually, filmmakers tend to tailor their flicks to be observed by a worldwide audience instead of just local Americans. Scorsese didn't care much about that. The Departed was banned in China because it criticized the internal government of China depicting a scenario where Beijing was working with local cops to purchase "advanced military computer hardware." This movie didn't make it far overseas, but it's considered to be an American classic.
Borat: Cultural Learnings of America for Make Benefit Glorious Nation of Kazakhstan
Borat is undeniably a satirical comedy. However, several countries banned this movie (INCLUDING Kazakhstan) because Borat mocked the American national anthem. Six years later, Kazakhstan lifted their ban on the film (because it increased its tourism industry), but it's still banned in many other places.