Another one for Minecraft. I've always been interested in electrical systems, and having redstone model electrical systems down to the point where you can create turing complete computers is a bonus. On the other hand, I also developed a bit more towards planning ahead and the importance of organization, as I got tired of having to remodel the base I create whenever I add a new machine. Don't forget troubleshooting tactics; when you've got a network consisting of a hundred individual parts, if not more, it pays to have a bunch of ways to figure out how to fix it. Even if that way is still Google sometimes.
Pharoah + Cleopatra, Zeus + Poseidon, and the Emperor: Rise of the Middle Kingdom city builders of old gave me a love for ancient history growing up. They had a lot of extra real-world information in them if you knew where to look.
The Romance of the Three Kingdoms series interested me from a very early age, even before I was able to understand what most of the concepts meant, and even though a large number of the events portrayed are fictitious. I have a distinct memory of trying to explain why Yuan Shao was one of the best factions to play on in elementary school, when the version for the Sega Saturn was out. It also led me to read the enormous text that the series was based off of.
Civilization, for the reasons cited in the original post, though I never picked it up until Civilization 3.
Battlefield 3-4 with friends in a large enough group to attempt organizing our efforts; while I am not too great at first person shooters in general, aside from sniping (as motion prediction is a fairly simple skill for me at long ranges), being able to get a group of people and actually organize with tactics, armor doctrine, and air support where needed is a blast. Of course, many times we ended up just saying screw it and went all zerg rush, but that's a tactic in of itself.