I really have to wonder if most people actually understand that "why did the chicken cross the road?" is supposed to be anti-humor, rather than being just a well-known "joke" that clearly must be a joke since everyone says it is one, even if they don't understand why. I really doubt that most people understand the notion of anti-humor when they learn it...
Speaking of things that are funny to some and not others, an instructive example is the Orange Head joke. Usually when it's told, the audience is sharply divided into those who think it's hilarious and those who struggle to see what's funny.
Here's the Orange Head joke:
Do you think it's funny?
If you search for this joke's key words, you'll see many pages where, after it's told, people react incredulously and ask where the joke was. Others at the same time are laughing their heads off. Here's a blog post that attempts to analyze this, though it doesn't get far.
(I personally think it's hilarious, and easily the best joke I heard last year. When I retold it at my blog, I got many concurring comments, but also comments from people who didn't see anything funny, even after those who did tried to explain what they found in it. Several people went on to convince themselves it's garbled and there must be an "original" version in which the final remark makes sense and is funny - and offered several ideas of how it might go).