Everyone always posts that clip as what we can expect Batman to fight like, but I honestly don't think the fighting in that clip is impressive at all. Perhaps I have a different idea of how Batman should move, but slow-motion and dramatic posing after each kick is not how I see Batman at all...
He needs to be
fast and powerful. Each blow should feel bone-crunching, and he needs to be very, very fast. The easiest way to improve the fighting from the TDK trilogy is to make Batman much faster (with A LOT more variety in his movements) than the brawling, slow and heavy stuff we got.
The fight choreography in TWS was absolutely fantastic, and I hope Snyder goes for a similar style with Batfleck. Weird as it sounds, I hope Batfleck is much more like Faora than Nite-owl.