Kim Ki-Duk is probably best known for a film called 3-Iron, in which the two leads have practically no dialogue. My favourite film of his (because it is sort of about Buddhism) is called Spring, Summer, Fall, Winter...and Spring. Other notable films are Crocodile, Pieta, and Samaritan Girl. Like a lot of Korean directors who break through to the international market, he is known for beautiful but disturbing stories.
I don't think I have seen The Wailing, but it rings a bell. The director was Na Hong-jin.