Anon has somewhat of a cause they're fighting for, they are pretty consistent when it comes about picking targets and their motives. But despite the amount of media attention it still feels like a drop on a hotplate to me.

LulzSec on the other hand just wants 'lulz', they'll try to hack anyone and anything, and probably fail a lot, but when they succeed they get a lot of media coverage. They pretend to be doing it to make people aware of security, but either it's a front or they're just that naive.

Anon has a goal, and what they do is an attempt to achieve it, LulzSec's goal is to do damage. I for one fear that LulzSec will push governments into cracking down on w/e is left of the 'free' internet.