Should add that the law-chaos and the good-evil parts dont have to be so fused together.
A lawful character likes order and structure. A chaotic character likes freedom to do what they will.
A good character likes to help people, and thinks about others. An evil character is selfish and/or cruel to others.
Ive never used it in a DnD game, but I like the 5x5 alignment chart, to allow for favoratism to certain axis. Such as a Lawful Good character who is more good than lawful, or a Neutral character who still prefers to help people than hinder them.