The true anti-hero is more the Chaotic Neutral. The Chaotic Good can also be an anti-hero but it's a little less usual. Compare Cameron (Chaotic Good) and House (Chaotic Neutral) from House M.D for example.
Judge by yourself:
Chaotic Neutral - Television Tropes & Idioms
Chaotic Good - Television Tropes & Idioms
I got Chaotic Good at the last test, but with just 2 diferent answers I could have got Chaotic Neutral, it was really super close behind.