Broken Base: The big draw of the comic is that it's literally written by a five-year-old. Several years into the series' run, this was obviously no longer true. The fanbase is split on whether the older Malachai's writing (which includes an influence over the TV series) is better because he now has a grasp on story structure and morality, creating more interesting storylines, or worse because this comes at the expense of the story's utter insanity.
Crosses the Line Twice: In a Halloween Ask Axe Cop, he is asked to design the scariest haunted house ever. The hypothetical family is left horribly, horribly traumatized. Then? A mechanical spider-camera hands them a free DVD of their experience to enjoy in the future.
Dancing Bear: Drawn by an expert hand... with a six-year-old as the writer.
Baby-Man's family, in large part because it's just so surreal. The shadowy drawing style and total lack of dialogue on the page that introduces them suggest that this may have been intentional.
The rabbits from Ask Axe Cop #76. These are giant rabbits created explicitly for the purpose of feeding an owl for a year, until they are reduced to bones. While they are still alive. They are stated to feel no pain, but whether that makes this less or more creepy, you have to decide for yourself.
The Scrappy: Lobster Man and his domineering attitude earned a number of haters in his first few appearances. This didn't last long when his backstory revealed him as the brother of Hasta Mia desperate to stop her.
At the end of Bad Guy Earth, Axe Cop prays for God to make everyone on Earth poop in their pants. Cue Reaction Shots.
The original draft for the epilogue of Axe Cop Babysits Uni-Baby had the Magic World Police forcing Axe Cop and Dinosaur Soldier to eat their own poop and drink their own pee for the rest of their lives, which they get around by cloning themselves. Fortunately, Ethan refused to draw the comic this way, so the story was changed so that they would eat the rabbits that were too old to use instead.
Fair for Its Day: In-Universe Example. Axe Cop's ancestor Book Cop still believes girl are dumb. However, he also believes they can get smarter by reading books and that everyone has the right to read.
Moral Event Horizon: The King crosses it when he murders one of his own soldiers, one who just got finished talking about his pregnant wife and three children.