There are many war movies made in the 60s. Unlike the movies made in the 50s, most of them were in color. They movies did not cover the Vietnam war. Very few even covered the Korean War. The Korean War, although it did not get many movies about it, is covered by a classic TV show. The TV show started with a movie. The reader probably knows the name of the movie and the show. MASH created a cultural phenomenon.
Patton and Battle of the Bulge are two war movies that came out of the 60s. Unlike many war movies, Patton does not contain much combat. It is a psychological portrait of an individual many people consider to be one of the greatest generals of the twentieth century. Other movies that came out at about the same time, although not necessarily in the 60s are Midway and Tora, Tora, Tora.
The top war movies of the sixties do not necessarily fit into a top ten list. The Battle of the Bulge, while entertaining, is not considered to be great cinema. The makers of the film realized that they could not portray the large scale of the battle accurately. There were simply few really good war movies that came out in the 60s to make a top ten list.