Today the Dark Knight is having his 75th Anniversary. That means he would have been with us for about 3 or 4 generations.
I remember I first saw the Bat in repeats of the Adam West Batman TV show. I will admit Batman may not be my top super-hero (but he's up there) and it wasn't until I was a bit older to start to grow to him after watching the films and playing the games. My first Batman comic was The Killing joke.