I kinda wonder if Korean and Japanese are related in some way, because the grammar is really similar (but the vocabulary is largely different, although there are minor similarities, much of it is because they were a former Japanese colony).
Looking a bit at Korean, and knowing some Japanese, if I had to make a semi-educated guess, they were related in the distant past (maybe 3,000 years ago).
@Elizafox if you mention Altaic, a bunch of linguistics will show up and get really angry
if you want them to start shedding blood, mention Nostratic
this is mst3k