At the beginning of The Dark Knight they make it a significant point that Batman needs an improvement to his suit, in particular that he needs to be more flexible, as he realizes after the initial fight against the goons in the parkhouse and their dogs.
Bruce: I need a new suit.
Lucius: Want to be able to turn your head?
This goes pretty much in line with the motif established in the previous film, and continued throughout the entire series, of Bruce encountering some technological problem in his work and asking Fox if he can do anything about it. And indeed Fox builds him a new suit emphasizing this flexibility.
Lucius: Hardened Kevlar plates over titanium-tipped triweaved fibers for flexibility. You'll be lighter, faster, more agile.
I also remember that the reworking of the Batsuit, and especially his neck parts, were something the filmmakers explicitly emphasised off-screen. But while this scene also introduces the sleeve projectiles that come into action prominently during the final fight with the Joker, the usefulness of the increased agility and swiftness is much less clearly apparent to me during the later course of the movie. He does have another fight with a bunch of dogs (if not even the exact same ones), but he doesn't really seem to be much better at handling them, nor was the suit supposed to improve his resistence to them anyway.
So was there ever a crucial moment in The Dark Knight where the improved agility of Batman's new suit really paid or are the changes less clearly apparent and we're more supposed to accept that improvement as given or less drastic? Or maybe it was a less pointed and more general improvement of his entire fighting style that only becomes apparent from analyzing his fight choreography a little more? Did the filmmakers maybe even conciously change Batman's fighting style in reaction to the new suit?