As for the Korean War, it didn't really exist did it? Certainly no one remembers it other than vets. I don't think we'll be seeing any major feature films about Korea. But you never know.
There were a few in the 50s but as a conflict it has been largely (and I would say criminally) overlooked film-wise. Obviously it's overshadowed by WWII and Vietnam but it was also a very "nasty" war that really ended in stalemate. I've seen a few accounts by WWII veterans saying that they thought the fighting in Korea was nastier and far more savage.
One film I would love to see remade is "The Hunters". It's based (and let's just say "loosely" would be an understatement) on Salter's novel of the same name. It's worth seeing the original, not for the storyline but for the F-86 footage and it is 50s nylon flight jacket porn. But I want to see it remade faithfully to the novel as Salter's book is IMHO one of the best post-war American novels. Salter also knew what he was talking about - he was a F-86 combat pilot during the Korean War. Magnificent book, if anyone here hasn't read it, I'd urge them to grab a copy.