As a kid in the 80s I was, for some unknown reason, a fan of these "classic" sitcoms, like Sid Caesar, Burns and Allen, etc. Though I enjoyed them all, the humor in most of those seemed too set-up, too predictable, maybe even too "Vaudeville-ian" at times. The thing that stood out in the Honeymooners to me was its sense of spontaneity. The humor seemed more natural and realistic than those others. I think, for shows of that time period, it had a bit more wit to it. Sometimes the jokes were a little more subtle, which adds an idea of intelligence to them, that they're not just "banana peel" jokes.
Although all shows at the time were "family friendly," this one did have a bit more of an edge to it, without being mean spirited.