I like a lot of war movies, "The Big Red One", "Bridge over the River Kwai", Even the "Dirty Dozen" (the original with telly sevalas and charles bronson) not the remake.
As long as they aren't blattently bad or wrong, can't handle the unlimited fire weapons (no reloading required, who knew)
When I was still in the service, we had a standing requirement (joke) that all paratroopers had to watch A Bridge Too Far and The Longest Day. Good movies both. You just got a big HOOOAH feeling after watching them.
The Big Red One
The Guns of Navarrone
Force Ten From Navarrone
Kelly's Heroes or was it Kelly's Gold?
Where Eagles Dare
and plenty of others that elude my ever aging memory.
I thought Private Ryan kicked a$$, too, so you are not alone.
As far as others go, Platoon, Full Metal Jacket, and It's been a long time since I've seen it but I think I remember Apocalypse Now as being pretty good.
I'm not really into modern military stuff so I don't know a lot about historical accuracy... I'm just basing opinions on cinematic value.
My interests are more along the lines of Braveheart and even older things. If I had to pick favorite wars they would concern Greeks, Romans, Celts and the barbarians. Too bad we don't have many war movies centered around this era.
I guess as close as I could come to something like that stuff would be the Conan movies, Robin Hood (Costner), The Ten Commandments or even (heaven forbid) Beastmaster.... ;-)
I also like post apocalyptic war type stuff such as Mad Max and Waterworld....