The latest developer documentary for id Software's Rage demonstrates just how similar the story of this game is to a Fallout title.
The world is ending. You're packed inside an underground vault to ride out the apocalypse, only to awaken as the sole survival of your particular ark. You wander the wastelands, fighting mutants and humans alike. At first you struggle to survive, but then you get caught up in events much larger than yourself. It's like a 'what if?' Fallout story where the apocalypse doesn't happen until the middle of the next century.
I'm perfectly fine with this.