I wouldn't call myself an "addict," per se. But I have seen my fair share of anime out there.

Cowboy Bebop is a must watch for any anime fan, IMO.

Neon Genesis Evangelion is one of my favorites of all time. I was totally freaking out because of the new Rebuild of Eva movies, and then to hear Utada Hikaru's new song Beautiful World on the trailer was a double win for me.

I'm just finishing a newer anime called Tengen Toppa Gurren Lagann, and it is easily one of, if not, THE most epic anime I've ever seen: funny looking but cool mechas, awesome battles, moving speeches, the most Bdass character to grace the anime world, and of course, the famous and inevitable "Gainaxing" woman lead to get the fanboys in a tizzy... (google Gainaxing if you don't know what it means, but its SO TRUE in all of their works.) Gainax hasn't put out an anime that I haven't liked yet.