Well, the British Nationalist Party's (somewhat extreme) anti-immigration/pro-emigration policy is popular in Britain because lots of people think that the immigrants have come in and stolen all the better jobs/doing other jazz to ruin their economy. Problem is, it's sorta/almost true... but it's also trying to justify what amounts to racism, so lots of people don't like the BNP.
In Japan, many people don't believe that their country committed war crimes in WWII.
Koreans think that a couple of Chinese holidays are actually theirs, such as the DuanWu festival, and another one that they're arguing for that I don't recall the name of. Many people (namely, 1.3B chinese) call bull****, but the UNESCO ruled in favor for the Koreans. I'm not too clear on the issue, but it might be relevant to your interests.