X3 (can get it from Steam) can be played without firing a shot. Although you have to ignore the plot.
It is a space based game (simulator like Star Wars which is really not much of a simulator but more of a fantasy) that you build an empire and cooperatively trade with the other races. It takes about 6 months to get really good at the game and have a massive empire built.
If you get bored with just empire building, you can shoot bad guys (AI alien ships and Insect like race ships, or pirates, or for the evil in you, other races).
There is also the Railroad Tycoon games that empire build that works well with working with others.