In comics, has he ever shown any humility?
What exactly do you mean by humility? Right now what I can say is, for a guy who's saved the entire universe and outsmarted galactic Gods, Batman does a pretty good job of keeping his head. I wouldn't describe him as "humble" - nor is he ever "arrogant." He knows his exact limits and capabilities, without being too boastful.
I don't think I can describe him one way or another. The guy can be really prideful at times and really humble at times. Sort of like a real person, it's difficult to just lop him into one category. If you want an exact example of humility, in the New 52, Bruce apologized to Alfred when he saw the latter use a virtual simulation program to prevent Damian from leaving the Batman. Sincere apologies are a sure sign of humility.
He's definitely arrogant, but only when its appropriate and 100% accurate, because he doesn't bull$#@+ anyone. Just look at most of his dialogues, especially post conflict. I believe he has the capability to be humble, but chooses not to be; not because he's a jerk, but because it's an emotional quality that doesn't necessarily further Batman's image as much as confidence does.
The great thing about a person,is to know ehat he's capable of.
And if he knows he's capable of accomplishing great things,he musnt be cocky about it.
What about Bruce Wayne?