One of my favorite Cold War movies - 1966's The Russians are Coming! The Russians are Coming!
A Soviet submarine draws too close to the New England coast when its captain wants to take a good look at America and runs aground on a sandbar near an island off Cape Cod. Rather than radio for help and risk an embarrassing international incident, the captain sends a nine-man landing party headed by the sub's second-in-command Lieutenant Rozanov (Alan Arkin) to search of a motor launch to help free the submarine. Soon, the citizens on the island are in a panic over the invasion.
For the ultimate in anti-matter viewing, try watching it as a double feature with 1984's "Red Dawn".