An animated Russian adaptation of the Ray Bradbury short story by the same name, the story was earlier adapted as a radio play. Read the story here, then go right out and buy The Martian Chronicles if you don't already own it. I still have the edition I bought back in the 60's. It was my favorite book for a while, and I'm still a fan.
The Sara Teasdale poem:
There will come soft rains and the smell of the ground,
And swallows circling with their shimmering sound;
And frogs in the pool singing at night,
And wild plum trees in tremulous white;
Robins will wear their feathery fire,
Whistling their whims on a low fence-wire;
And not one will know of the war, not one
Will care at last when it is done.
Not one would mind, neither bird nor tree,
If mankind perished utterly;
And Spring herself when she woke at dawn
Would scarcely know that we were gone.