I'm not really the biggest anime fan, but I love Cowboy Bebop and FLCL. Liked what I've seen of Mobile Suit Gundam. I cut my teeth on anime with DBZ, but prefer the manga over the anime. It gets downplayed a lot, but I think that's more from overexposure and the fact it's marketed towards children.. IMO, it's a classic.
Watched most of the stuff on Cartoon Network in the early 00's, like Outlaw Star, Trigun, and Inuyasha. Enjoyed most of what I saw. Even Shin Chan.
Now, I've tired on Inuyasha though, but still love Trigun and Outlaw Star.
(Wolfwood has to be one of the greatest supporting characters ever).
Kind of stopped with Naruto, Bleach and One Piece. Just couldn't get into any of them, although I've probably read most of the Naruto manga, and seen a good number of Bleach eps.
Also seen the entire Eva series, including the movies, and am one of the few folks that doesn't hate Shinji. Sure, he whines a lot.. He's basically an introvert raised by an asshole father (Not to mention the crap with his mother, that would shatter most men..) that's stuck with the burden of being the last, best hope for the human race. If I was in his shoes, I'd have trouble throwing up my hands and saying "I'm out" too, basically being stuck between the devil and the great blue sea... (The death of the human race by running, or my own potential death from trying to save it..)
On the opposite end of the spectrum, I love TTGL to death.
As for recent stuff, Histories Strongest Disciple and Gai Rei are fantastic.