The beautiful thing about comedy is that it is so personal. What makes me laugh out loud is not necessarily going to do the same thing to you. That's why there are so many different types of comedy. When you take into consideration how visual most comedy is, it's a very successful author who can manage to translate that to the page.
Just for fun...here are a couple of my favourite kinds of comedy!
An example of Physical Comedy from Liar Liar with Jim Carrey:
An example of Sketch Comedy from Monty Python's Life of Brian:
Character Comedy: An example from popular Australian TV show Kath and Kim
Black Comedy: An example from Death at a Funeral (contains swearing)