Popular Mechanics should have asked Veterans what their favorite war movies are. I could be way off, Veterans may not like war movies, but the comment section shows how ignorant some of their choices are. Not being a Veteran, I am interested to see what Veterans like.
Lone Survivor- Read the book, but I'm not going to watch the movie played by Hollywood wannabes. I imagine their excitement when they got the casting call. 'I get to play a SEAL?? Eff ya man I could be a SEAL'

Especially Mark Walberg, the guy who said he would have prevented the 9/11 attack if he was on the plane.
Blackhawk Down- Great movie.
Saving Private Ryan- Great movie.
The Green Berets- I have never seen it, but I see reference to it on this site. I like Apocalypse Now, but it could be disdained by Vietnam Vets.