Governor is a weird card, a difficult card, a bit of a tricky card which is not easy to understand how to play optimally. I'd like this thread to be an example of games which feature governor as the star card, particularly if there's some nuance of strategy you want to evince.
I'm going to start off by posting this game:
http://councilroom.com/game?game_id=game-20120427-195902-f537fa3c.html.
Now, I think this game is good and instructive for a few reasons. First, be sparing with your +cards. Second, you have to check out the board for options and not play blindly. Here moneylender helps connect things, warehouse is great as a sifter. But I think most importantly you need to see silk road. You're probably going to have an opponent with lots of silvers, so if you go for a final mega-turn trashing lots of golds into provinces... you have to watch out for your opponent defensively trashing, basically. So I was even more keen to get moneylender, because I can turn it into a duchy defensively. And the silvers into silk roads. I actually gain 10 points on the last turn of the game, which was my opponent's turn! Finally, be willing to turn those golds into provinces even at a pretty early stage.