I came up with five new possible Neutral alignments. Do we really need all these new alignments? Heck no. I think people should be able to write anything they want in the alignment line of their character sheets. So here's a couple of ideas that you might write in.

Grid
LG NG CG
LN NN CG
LE NE CE

Unaligned
XXX
XXX
XXX
You look at all alignments equally. You don’t care for any alignment over any other, nor do you dislike any alignment. As long as an evil person isn’t about to kill you, or a lawful person isn’t about to throw you in jail, you otherwise seem content to work with all alignments. This is the closest thing there is in the alignment system to an opt-out clause.

Neutrality
OOO
OXO
OOO
The best alignment is True Neutral. You dislike every other principled stand, even if it’s on the benefits of Chaos. Alignments do not have any benefits as far as you are concerned. They only lead to problems. You think that the best people to work with are others who are True Neutral. You’ll work with other variants of Neutrality, but you still worry that they might become tainted by allowing themselves to interact with the other alignments.

Amoral
OOO
XXX
OOO
You act out of selfish motivations, and this is what you believe drives the multiverse. You shy away from both overly Good people who are always acting fake, and from overly Evil people, who are usually just ego-tripping. You see Law and Chaos being at the heart of motivation, so you see both Lawful and Chaotic characters as honest and true to themselves. It is possible to describe yourself as Lawful Amoral, Amoral Neutral, or Chaotic Amoral, which are just alternate ways of saying Lawful Neutral, Neutral, and Chaotic Neutral.

Balanced
OXO
OXO
OXO
Your pet cause is the battle between Law and Chaos. You believe strongly that neither Law nor Chaos should be allowed to get the upper hand. You describe your position as balanced precariously between too much Law, and thus oppression of all people, and too much Chaos, leaving the universe incomprehensible. When it comes to Good and Evil, you are mostly indifferent. It is possible to describe yourself as Balanced Good, Balanced Neutral, or Balanced Evil, which are just alternate ways of saying Neutral Good, Neutral, and Neutral Evil.

Nonextreme
OXO
XXX
OXO
You think that the problems of the world come down to the combinations of extreme ethical and moral positions. Good is fine by itself as a concept, and so is Law, but as soon as they become combined, they become an oppressive tool. Unfortunately, the same is true of Chaotic Good. Chaos is alright, and so is Good, but Chaotic Good leads people astray. And the same is true of Lawful Evil and Chaotic Evil. These four extremes are what the entire multiverse is fighting about most often.

-------Jawsh-------