I personally don't. They kind of just go around ruining everyone's good time for "Teh lulz". I think they should just quit while there ahead.
Tl;dr version: These guys are evil and have no motovation other than "Let's blow shit up". Thus, I hate them.Lulzsec:
? likes wanton cruelty and destruction
? like over-the-top Saturday-morning-cartoon villainous posturing
? dislikes being thwarted
? dislikes helping others
We've seen Evil groups before before. 4chan, Trolls, perhaps even Anon at times. Though they were Evil, they were always intelligible; some were ruthless, some were callous, some hot-tempered, and others were insecure. We could understand why they were that way, even if they were irritating as all hell.
But Lulzsec? Completely different. Lulzsec is proper Monstrous-Manual 'Always Neutral Evil'; it shows up on Detect Evils from miles away and has absolutely not one single redeeming trait in all of its members. This group triumphs in random acts of inhumanity and, conversely, despises any form of kindness or compassion. Its one comprehensible emotion is probably selfishness.
Source: http://lparchive.org/Neverwinter-Nights-2-Mask-of-the-Betrayer/Update%2043/