Synopsis: Korean War veterans recount their memories of America in the late 1940s and early 1950s, when young men from all over the country were being shipped off to defend South Korea against the advancing Red Army in the north. UNFORGETTABLE: THE KOREAN WAR recalls the un-won war that never ended ... no one even wanted to call it a war: it was the Korean conflict or a police action. Finally, it was called the Forgotten War. No matter the name, the Korean War killed tens of thousands of U.S.