Long shot here, but what you describe sounds an awful lot like the Soviet-era Uzbek short animated film "There Will Come Soft Rains" directed by Nazim Tulyakhodzayev -- and obviously based off the Bradbury story of the same title. The open door and the snowfall figure prominently, if I'm recalling correctly.

Film here: https://www.youtube.com/watch?v=5LNHYz89sNc