Okay, depends what you want...
If you want Blame atmosphere... read the manga, and spin offs.
Short stuff to get started, slightly westernised style,
Try the crazy threesome of:
Trava (50 min)
World Record (10 min)
Dead Leaves (50 min)
Or Morimoto's drugs-are-good shorts:
Noiseman (15 min)
4 Day Weekend (4 mins)
Beyond (15 min)
You can extend this of course, by watching the rest of The Animatrix, and the remaining animation off Grasshoppa. And everything else s4c.
Want decent animation, and non-cliche design, can go for:
Alien 9 (4 eps)
Boku no Marie (3 eps)
Shadow Skill (3 eps)
If you want cinematic quality animation, but lots of different styles, then try the shorts-in-films
Robot Carnival
Memories
Meikyuu Monogatari
If you want current tv series, you've basically got a choice between Gonzo and Madhouse, Gankutsuou and Akagi being respective highlights.
In the unlikely event you think, like me, that the early AIC ovas roxors, and can put up with their bad bits (like tentacles), everything from the first Iczer through to the last Bubblegum Crisis is golden. Watched Dragon's Heaven recently, interesting style, well worth seeing.
For just best-animation-money-can-buy, watch Akira and everthing Ghib you can find already.
However, even if you ignore every other suggestion I've made, go for this one:
MIND GAME
Rar