Movies like Miracle Mile

A young man meets and falls in love with a young woman at the La Brea Tar Pits in Los Angeles. This area is known as Miracle Mile, and the whole movie takes place there. They make a date, which he misses, and while he is searching for her, he accidentally finds out that we (the United States) are about to start a nuclear war with the Soviet Union. He frantically searches for her so that they can escape Los Angeles.