Mobius said:
"Evangelion Neogenesis" is, perhaps, the best anime I've ever seen - well worth checking out. "Trigunn" is a lot of fun as well, amusing and heartfelt (i've seen the dubbed version and 'twasn't all that bad, even though i'm a sub-snob like you). "Akira", of course, need say no more 'bout that. i've heard the "Samurai Champloo" and "Cowboy Bebop" series are astouding as well, though i've never seen them
Really, Bleach is turning into DBZzzzz at this point. They made the mistake of passing the source manga without any plans for plot, so had to do a 'filler' season that was really bland and didn't change the status quo at all because it really couldn't. I watched 160 episodes before giving up on it as nothing at all is happening. The Soul Society arc (the first part of the show) is pretty good, though.
I have to chime in on Neon Genesis Evangelion, though. It really isn't
that good, in my opinion. Worth watching through once, sure, but the pacing and plotting of the episodes in the last half of the series suffer in comparison to the first part, and it really goes off the deep end in quasi-existentialism later on.
Things I recommend :
Trigun - Action/comedy western, with serious philosophy hidden beneath.
Cowboy Bebop - Retro-futuristic bounty hunters trying not to starve. Real art.
The Slayers - Seriously. If we could animate Alliance games, they would look like this.
Bastard! - D&D meets hair metal.
Hellsing - For mature audiences only. Here be vampires.
Excel Saga - Sheer madness. The sub and dub are both too good for words. Comedy ahoy.
FLCL - Pull-started guitars and robots coming from foreheads. You'll want to watch this twice to catch everything.
The Ultimate Teacher - A half-roach, half man teacher. Lucky Kitty Gym Shorts. This thing is twisted comedy genius.
Tenchi Muyo! - The first series only, the current GXP stuff is crap.
Outlaw Star
Gundam Wing - Good plot, beautiful mecha, political intrigue... what more could one ask for from Gundam?
Fushigi Yuugi
Black Lagoon - Serious modern series about smugglers in the Caribbean. MA for violence.
Witch Hunter Robin - Modern world with the supernatural playing a big part, interesting art style.
Wow. I always forget how much of this stuff I've watched.
His Lordship Carnage has a lot of reviews that are helpful. They're a few years old, but so is my taste in anime, as you can tell.