Prince of Persia: Two Thrones, allowed you to sneak up on most mooks until the screen distorted a certain way, press a button to initiate the QTE, and, and it would start the animation. Press the correct button when the Dagger flares and the screen flashes, and the animation continues. Fail, and your opponent recovers and throws you off, now alerted to your presence, as are any of their friends in the area. You get to watch the cool animation, you're still technically playing, and there are no distracting onscreen prompts. Or you could just slash them to bits the normal way. Up to you.
Arkham Asylum had a similar system, with the flashing icon that appeared over foes' heads that tells the player they should hit the counter button, and the upcoming Spider-Man: Shattered Dimensions is supposed to have something similar.