I browsed through all the Korean and Japanese war movies that I've seen, but I couldn't find any that take place more recently than the 60s.
JSA and The DMZ are about the DMZ, set in the 60s.
Tae Guk Gi is about the Korean War, set in the 50s.
There are many great Japanese movies about WWII, set in the 40s. There are too many to list, but my favorite is The Human Condition.