Both share many themes. My favourite being that constant question of: To leave or to stay. When the going get's tough, where do you draw the line among those you love and care about the most? In the end the answer is there is no line if you love them because love covers over it all. King's family offers an alternate ending for those Happy Home fans who were dissatisfied although while i enjoyed King's family just as much i'd venture to say the ending is not realistic but many people enjoy that sort of thing.
Both are about a South Korean man and North Korean woman falling in love. Blow breeze is different in that the man is a lawyer and the woman defects from North Korea as a pose to Han Ji Won's character who was a soldier in South Korea on a joint mission and ends up falling in love with the then prince and who eventually becomes king.