Is there a computer strategy game a family of 4 can play from different cities?

I'm looking for a good online, multiplayer game that my family, who live in 4 different cities, can log on at different times but still be playing the same game together. Does such a game exist? Not board games (words with friends) but rather strategy/world game (clash of clans, minecraft, etc.) but for grown-ups?

King.Com

Ludo - four can play together

Logging at different times… What you are looking for is "asynchronous" games. The one I know off the top of my head is Star Realms, but that's a short two person deckbuilder.