On the very first issue, we get an example of just how funny Batman can be when he wants to: The Penguin and his goons are robbing the Wayne Enterprises building, when Batman does his old cut-the-lights-and-make-them-sweat trick. He then drops right smack in the middle of the group without being seen. This ensues:
In #20, The Perfesser is keeping a diary of his criminal exploits. He, Mastermind, and Mr. Nice do a job in that issue, which Batman naturally foils. At the end of the issue, they're back in jail, where The Perfesser cheerfully finishes writing up his account of the crime with "...ignominious defeat!"
Bruce's brutal honesty while being on trial in Gotham Adventures #35, from admitting that he's Batman due to taking an oath to tell the truth in court (though no one believes him). Made even better by the following post-trial conversation.
Old Man: Hey, nice job in there. You're pretty good at making arguments. You a lawyer?
Bruce: Me? No. But I used to be very good friends with one.
Old Man: Not anymore though, huh? What happened, he turn out to be two-faced or something?
Note that most, if not all, of the people in the office were actual people who worked there, the above quote coming from the editor, who was in fact the editor at the time, ScottPeterson, who has used several of those pictures of him as profile pictures and such. Includingrightnow.note second panel, bottom left, background; and third panel, left, yelling
Joker: Ice cream! Bomb pops! Hey, kid! How about some ice cream?
Kid: Ice cream? But it's freezing out here.
Joker: Well then, how about a violent abduction instead?
(Joker's goons grab the kid and stuff him into the ice cream cart headfirst)
Joker: Ah, what the heck. Take both, my treat. It's the season of giving, after all.
Gotham Adventures #26: Batman's found himself caring for a baby that's wanted by villains, and can't risk leaving him alone, and so goes out to fight crime anyway, with the baby under his arm. A bunch of crooks aren't impressed... at first.
Batman: You know who I am. You know what I can do. But I am holding a small child here. And if you make me do anything that could possibly endanger this baby... You will be very, very sorry. *pause* Forever.
And the thugs immediately surrender their weapons. And then they have to tell him he's holding the baby wrong!
And when they first see him, one of the thugs is so nonplussed by the sight that he points and blurts out "Babyman!". Batman doesn't react.
While one of them is fooled into taking other hostages away, as Alfred didn't want them to hear Bruce Wayne's secret, the other two are hypnotized in falling asleep, and Alfred thanks them for falling asleep so fast.
When the third arrives, he comes near Alfred and tries to scare him in submission. Alfred tells him the secret, that Bruce always cries when Crocky's Adventures is over, and in the meantime ties the thug with the handcuff he had been tied up.
Batgirl, Nightwing and Robin arrives to finally save Alfred, and find him playing solitaire. When asked what happened, Alfred explains that two of them have fallen over out of boredom, and the other hit his head on something (a baseball bat, as Nightwing points out). And when he arrives, Batman points out it's the twenty-eighth time in a row that Alfred was kidnapped and dealt with the kidnappers before Batman and co. have the time to save him, and complains about the incompetence of all his kidnappers.
Aaaand then he gets kidnapped again at the end of the comic.
This is probably based on a Silver Age comic where Alfred manages to defeat a gang of crooks while tied to a chair (although completely by accident that time).
In The Batman Adventures #10, the Riddler gets out of prison and tells his henchmen that he's quitting because he's sick and tired of always being outsmarted by Batman. His henchmen try to cheer him up and convince him to give it one more try: