The movie that trespalmas describes is Chunhyang. http://www.mediacircus.net/chunhyang.html
This film is based on Korean Classic. If you are interested in Korean culture, this movie is worthwhile. This movie encapsulates many of core Korean traits and culture. For a person who is going to watch it or have watched it already, you would appreciate the experience more if you appreciate the difficulty of mastering Pansori (Korean traditional narriative style), and the beauty and the cleverness of the poem in the movie.
I personally thought that it would have been palatable for me if narrative was told by a woman. I don't recommand this if you are not interested in Pansori, since you might find it slow and dull.
But otherwise, if you are interested in Korean films, you can start from the following web site. http://www.koreanfilm.org.
Personally, I liked JSA (Joint Security Area), PyunJi (The letter), and Bungee Jumping of Their Own. If you like comedy, you may like My Sassy Girl. I heard good reviews but haven't watched One Fine Spring Day and Failan.