My fastest game is tag. The other kids always catch me immediately.
As for GalCiv, I'm still working on my first complete game. I had a lot of crashes and I restarted for each beta release. Now I am trying push forward towards an Ascension victory. I am at 175 turns. For a lark, when I had to leave for a while yesterday, I saved my game and then put it on soak. When I came back, my AI player had won in 250 turns. So I guess that is the goal I am trying to beat. 