South Korean film recommendations?

[cinemaphile]

I need to tap into the knowledge of members more versed in Asian cinema than I am.

This past year or so I have been trying to dip by toes a little further into foreign films. I've really been digging some of the stuff out of South Korea. There are so many films, though, that I am looking for some recommendations on the must-see's or even just which ones are worth my time and which to skip.

And actually, any Asian film recommendations in general are welcome as well. (note: I am not really a fan of anime, John Woo, or stuff like Crouching Tiger)

Here are some of the Korean films that I have already seen and enjoyed, to give you an idea of my tastes:
I Saw the Devil
Train to Busan
The Handmaiden
Oldboy
Doomsday Book
The Good, The Bad, and the Weird
Tunnel
The Host

A few of the non-Korean ones I have enjoyed:
The Raid 1 & 2
Infernal Affairs
Kung Fu Hustle
Shaolin Soccer
Why Don't You Play In Hell?
Journey to the West
This Girl is Bad-Ass!
Let the Bullets Fly
Jackie Chan flicks

And here are the ones already on my potential watchlist (thoughts on these?):
The Villainness
Bittersweet Life
Assassination
The Wailing
Thirst
Sympathy for Mr. Vengeance
Sympathy for Lady Vengeance
The Man From Nowhere
Chocolate
Barking Dogs Never Bite
The Front Line
Infernal Affairs 2 & 3
No Tears for the Dead

Thanks in advance!!