My favourite example of this is in The Walking Dead Season 1. You get into a fistfight with some hillbilly, and you are doing the usual quick time event stuff to avoid being killed. Eventually, you get on top of the hillbilly and start pummelling him over and over. What happens next is totally organic, in that as you are kicking the guy's ass, you (and the character) either notices you've already won and stop punching, or you get too wrapped up in the excitement and they beat the guy to death. It's a neat way to make the mechanics represent the emotional state of the character.
Also, I should give an honourable mention to Bioshock, because as much as we jibe about it now, I was genuinely impressed by the way in which the game lampshades the way the player obeys the voice in their ear without thinking about it, within the actual story.
Also there is The Stanley Parable, which takes the above to its logical conclusion.