Chaotic Evil

Chaotic Evil is probably the most common alignment you will ever come across in stories. Every antagonist of simple stories is Chaotic Evil. These are the most despicable people on earth, to the point that you don't want to call them people.

These people have no respect for anything or anyone. They care only for themselves and will do anything they can to satisfy their whims.

We feel almost compelled to make antagonists this reprehensible. It makes them easy to hate, which makes us all the more excited for their eventual downfall. But this is only one way to express the alignment.

Start by imagining a Chaotic Evil protagonist. Their chaos makes them willing to break the laws and the evil makes them self-interested. Well, that totally describes a professional assassin, and people freaking love assassins. There are so many famous assassins that it would blow your mind. (It also should remind you that, in our culture, if a character is cool enough, it doesn't matter how loathsome they are.)

The other thing to remember is that Chaotic people don't have to go out of their way to break the laws - they just don't care if they do. Similarly, Evil characters don't have to be trying to hurt others - they just don't care if others get hurt as a result of their actions.

You could have a friend who is perfectly happy and sociable, but will hunt a stranger down and brutalize him with a baseball bat for cutting him off in traffic. He may even tell you about it later that day and say he really "hit it out of the park" and laugh over the tasteless wordplay. This character has never done anything that didn't make himself feel good and he didn't care if other people thought it was wrong. Sometimes those things were wrong, and other ones they weren't. But this character is undeniably Chaotic Evil.