Both films explore themes of lust and greed and the lengths people will go to to gain money and power. The Taste of Money is a far superior film to High Society, however.
Both films offer a heartrending look at a North Korean's experience in & with the capitalistic South, both learning along the way that not everything that glitters is gold.
The movies depict a bleak existence for immigrants looking for a better life in a society that thrives on the unequal, sometimes abhorrent treatment of people, esp those who are 'different' and/or those who fall outside a certain socioeconomic bracket. These are not light movies to watch, but if you're concerned about social (in)justice & are in the mood to see a darker side of South Korean society, beyond the rosiness of dramaland, these are both good places to start.
Both dramas deal with a father's involuntarily thrust into single parenthood. The dramas also shed an insightful light on Japanese family dynamics - how Japan's brutal corporate culture & rigid adherence to gender stereotypes can test the bonds of marriage. If you love bromance, esp between fathers and sons, these dramas are golden. Kazoku has a better ending if you're a romantic at heart, but both dramas are well worth the watch.