Funny, what comes back. One episode Batman said something super-intelligent and Robin gushes "Golly, Batman, is there anything you don't know?" Batman, deadpan, "Yes, Robin, several things in fact". That has been a family joke ever since.
Another episode, a robbery in big department store, Batman draws Robin's attention to what was taken. All exaggerated female items - evening gowns, furs, jewelry, perfume. Robin says "A lady!" to which Batman replies "Hardly a lady, Robin, but a female".
As was said, this was an innocent crime show. Not Law & Order SVU. No one was raped, murdered, abused, tortured. Robberies were of buildings, no one was held up at gunpoint.
I used to wonder about this very unconventional family. Bruce Wayne, despite good looks, intelligence, perfect manners, wealth, had apparently never married. A grown man living with a teen boy who presumably had no living relatives. And an old aunt who served as housekeeper because the men were too involved in important things to get meals served on time.