Not in the timeframe specified, and not a movie people tend to recognize as a "Human Survival" story, but "2012" comes to mind.
Big Budget, well known cast, and leaving aside the apocalyptic destruction, a good part of the movie is centered around the survival of the human race using huge evacuation ships, which if I recall, only 2 made it.

http://www.imdb.com/title/tt1190080/

http://forum.movie-list.com/showthre...land-Emmerich)