The Civilization series of games takes players through the course of history, allowing them to guide a society/nation from way back in prehistory up through the near future (say, 2100). You develop technologies, choose political systems, and raise armies. There are various ways to "win" the game: military conquest, achieving a just and happy society, or building a spaceship that will travel to Alpha Centauri. It's a great pastime for any of us who harbor the suspicion that the world would be a better place if we were installed as a benevolent dictator.
Although the game is supposed to take you to the near future, apparently (I've never played) you can keep going if you choose to. Which is exactly what one commenter at Reddit did: he has been nursing a single game of Civilization II for ten years now, bringing his virtual global society up to the year 3991 ...