The Library collects heavily in Korean films.
You can search most films by title, director, and principal actors in UC Library Search. To find feature films from or about a country, use the Form/genre search and look under "Feature films--[Country Name]"
example:
Feature films--Korea (South)
Documentary films are found under the Form/genre search:
Documentary films--Korea (North)
Below is a list of films related to Korean Studies at UC San Diego.
The Korean Film Archive has a dedicated YouTube channel for their films. You will find Korean films from 1930s to present, available for free.