Sword-fighting in Games vs. Sword-fighting in Real Life

It comes as no surprise that swinging a sword in a game is very different from swinging a sword in real life. But to what degree? Are there games that get it right? What things could be done to get closer to reality? A couple of game industry veterans who also happen to be sword-fighters cut and thrust their way through this topic. Bring your questions, but leave your daggers at home!