The Chaotic Good mindset is a paradox of the desire for individuality and a benevolent concern for others. Chaotic Good characters are almost always strong minded and each tends to possess a unique moral compass about what exactly is right and what is wrong. These characters have a tendency to pass moral judgments based on their beliefs, and to hell with what anyone else thinks. Despite this individualism, the definition of good, for most Chaotic Good characters, doesn't hurt anyone else.
Chaotic Good characters tend to be popular among players since it is mistakenly viewed as the only good alignment with room to slip up once in a while. That isn't true, for all good alignments can waver quite a bit. Chaotic Good characters, consciously or not, resist authority because they have a tendency to equate law with evil. They have the universal precept that every man should be left to his own to make up his own mind. In this aspect Chaotic Good characters can be very anarchistic, since they have a trust that people are capable of governing their own behavior.
There is a lot of variety in Chaotic Good behavior. Some are hedonistic, others have a paladin-like piety, but lack the follow through of the members of that class, most are restless however and some are meticulous. Just as it is a mistake to believe Lawful Good characters to be devious of chaotic streaks, so too is it a mistake to believe Chaotic Good characters to be incapable of order. Indeed, often the characters of this alignment have to follow orders, even when they don't want to, but they can be quite capricious in their dealings with authorities they do not like. On the other hand, they can be quite methodical in order to get what they want. Still, the chaotic mindset is there. Chaotic Good characters who fall into a routine will break it occasionally for no apparent reason to anyone but themselves.
Chaotic Good societies tend to be widespread and lacking of any real central authority. These societies rarely have a set of laws set in stone, just a series of precedents and understandings. "Rule" per se, is often deferred to one person at a time. Large Chaotic Good societies will enact more laws, but they will still be very broad based. Often these societies are republics with a democratic (or at least semi-democratic) leadership elected from time to time. But no matter what the intentions of any proposed law in such a society, it will always have opposition from those who feel that too much government is wrong, or even evil in nature. Enacting any new law in such a society is often a long and laborious process (If all this sounds familiar, the United States is an example of a Chaotic Good society and government).