It is impressive that Paths of Glory made #3 on that list. It is #1 in my book. The trench warfare scenes are impressive for the 1950s, the French generals are pure evil, and Kirk Douglas kicked major butt as Colonel Dax.
My list, in order
Paths of Glory
Full Metal Jacket
Blackhawk Down
Glory
The Deer Hunter
Patton
Saving Private Ryan
Enemy at the Gates-better opening scene than Private Ryan,IMO-a notch below the others otherwise