More and more people are immigrating to Korea and Japan and both countries are becoming multicultural. I can't speak for the numbers in Japan, but I can in Korea. As of 2013 there were 1.5 million foreigners living here either temporary or permanently. The number for Korea is expected to reach 4 million by 2020 while the total population will drop to 40 million (from 50 million now). So by 2020 there will be 10% foreigners, then you also have to some how take into account those with mixed heritage (born to a Korean parent and non-Korean parent). I'm assuming the 4 million would not include those of mixed heritage as they would be considered Korean citizens.
Neither Japan or Korea is going to be able to survive without immigration of some sort. I know Japan is much more reluctant to allow it (from what I've heard). The birth rate is too low to maintain the population (which may be a good thing given how densely populated some of the areas in both countries are, but that topic is for another thread).
Korea has gotten better in the last 10 years, but like anywhere you find rednecks that act like racist assholes. There is still much discrimination with employment, the ability to get services (cell phone service has been cited as a common example of stores falsely citing Korean laws saying that foreigners are not allowed contract phones, which is not true), and banking.
I hope Korea will continue to improve.
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