1 variant rules, from No Alignment to No Alignment.
No Alignment
The simplest variant is to not use the alignment system at all. To many players, this feels like the variant closest to real-world morality. Creatures, NPCs, and players have complex and many-layered beliefs and motivations, just like humans in the real world. Not using the alignment system simultaneously embraces complexity and variance in what is seen as moral behavior. For example, worshippers of a powerful sun god might feel that spreading their deity's light is virtuous behavior. Some might go so far as to say this means they should conquer their neighbors in order to achieve this. Another example might be a large and powerful government placing safety and security as its foremost concern, drawing the conclusion that it's acceptable to sacrifice some individual liberties in favor of increasing the safety of its citizens.
Rules Adjustments
Alignment restrictions no longer exist in either major variant. You can replace them with edicts and anathema, if necessary, and make the following other adjustments.
Aligned Damage
If you're using the no alignment variant, remove or replace aligned damage (chaotic, evil, good, and lawful damage), which requires significant adjustments for creatures like angels and devils that were built with a weakness to aligned damage. One option is to replace them one-for-one with new damage types like "radiant" and "shadow" that don't have any moral assumptions. Another option is to simply change the damage type needed for creature weaknesses to some other damage type on a case-by-case basis. A third option is to remove the weaknesses, reduce the monsters' maximum Hit Points, and call it good. No matter what you do with creatures, you'll also have to replace abilities like the champion's that deal aligned damage in a similar way, or remove those abilities.
If you're using the moral intentions variant, you can replace chaotic, evil, good, and lawful damage with a single type of damage called aligned damage, which harms those with intentions directly opposed to those held by the character, as determined by you as GM.
Detection
Alignment-detecting effects don't exist. In the moral intentions variant, you might replace such an ability with one that detects whether a creature is following its own intentions, or to detect others with similar intentions to the creature using the ability.
Traits
Alignment traits don't exist, and anything that has those traits loses them. Effects that require the traits to function, like protection, don't exist.
Gamemastery Guide, page 184.