I used to enjoy playing Civilization but as the interface became more cartoon, it became less playable.
I would prefer a simple game system that plays quickly.
I never liked the Civilization series, but I still play Alpha Centauri/Alien Crossfire (its predecessor). I read that Civilization V received an overhaul, switching to hexagon-based, which will make me take another look once I get to my nephew’s house.
Civworld, in my opinion, is garbage. Empires and Allies is OK for a Facebook game. If you truly want computerized wargames, check out Paradox or Matrix games. Those are truly “desktop wargames.”