Harry Potter has a distinctive score too, thanks again to John Williams. But Batman not having a distinctive score doesn't bother me in the least. It seems a minor nitpick if nothing else.
Little things I liked...the exchange between Bruce and Alfred where Alfred said he'd probably be arrested once Bruce revealed himself and Bruce joking that he planned to blame everything on him. I like that how even facing such a serious situation, they could still find some humor in it.
Another thing I found interesting was Batman's excursion to Hong Kong. I know the first part of Batman Begins took place overseas but it was definitely interesting to take him out of Gotham for a little while. Effective.