Stripes (1981)

Stripes was a big hit in 1981 that starred Bill Murray and Harold Ramis. It features a band of military misfits who constantly get into trouble, culminating when their antics lead to a “faux” war with the Soviet Union. 

Unfortunately, a movie that lampoons the military like this and jokingly talks about unnecessary wars would probably outrage audiences on all sides, even if is a classic.