Take any zombie movie, remove zombies and destroy everything a bit more xD
Well to be serious: The Postman. I think that represents a world that just have started to try and lap itself together again, but the world in that movie is a lot greener etc than the classic fallout world, but I still feel the emptiness and how people struggle to survive when I watch the movie.
Then there is the planet of the apes (no I'm not kidding), just replace monkeys with people and there you go
Still not exactly falloutish but the basic lines of it, you have to look at the big picture xD Just how the "tribal humans" are always tracked down to a life of slavery (this can be projected as slavers hunting for slaves) then a bunch of other things I don't want to write about since it's like... a sh*t load of stuff.
I'm sure there are a bunch of stuff I've seen but I can't remember the name >,<