"Atomic Attack" is an excellent little window into the 1950s. While it all seems a bit quaint and dated today, nuclear attack was a HUGE concern...and a reasonable concern considering the huge nuclear build-ups and the nastiness of the Cold War. It's less important for its entertainment value than its historical value.
The story begins in the New York suburbs. Very soon, there is a nuclear attack on the city and the film follows a family and their neighbors during the aftermath of the war.
In many ways, the film was designed to dispense information--what to do and what not to do before, during and after the attack. The show also gave the unrealistic impression that nuclear wars are imminently survivable and that in the end, the USA will win....though common sense says no one wins in such a scenario.
Not super-well made but interesting. And, if you want to read an excellent review of the show, I suggest reading Robert J. Maxwell's...he did a really nice job.