Pretty much everyone on here would recommend
Achewood, and for good reason.
Most of the time, it's got some sort of surreal storyline going on, and I can guarantee that you're not going to find it that funny when you start reading it, but soon you will start getting it, and it will be
amazing.
A lot of folks like
Scary Go Round, and it certainly has a storyline like you want, but personally I don't enjoy it that much, though I think that might just be because I never really got into the storyline. Given its popularity, I assume that there's a good chance that you will get into it.
Dr. McNinja is a great comic, with a storyline, that is cleverly written and full of jokes. Read it if you want something light to enjoy.