Ergo Proxy
>Doesn't look like anime, doesn't sound like anime. Not just an exceptionally transparent dub, even the OP/ED made me think it was American first time I saw it. Looks like something right out of Liquid Television from the '90s, complete with edgy pretentiousness, but in a good and slightly sarcastic way.
Texhnolyze
>Essentially Ergo Proxy, but more edgy, more intense, and somewhat tighter written, in exchange for less humor.
Big O
>By the best of the anime studios from Batman: The Animated Series, looks and feels like a slightly cheaper BTAS with a dash of 2000s Cartoon Network. Which makes sense, since it was commissioned bespoke by CN's Toonami block.
Mushishi
>In spite of its setting's intense Japanese-ness, it contains virtually no typical trappings of anime, instead drawing primarily on traditional Japanese culture, in both stories and visual style, with a very subdued characterization for the cast.
Obligatory:
Legends of the Galactic Heroes
Record of Lodoss War
Spice & Wolf
>My favorite examples of how anime has been be the best use of TV to tell long, intricate novel adaptations perfectly. Even the BBC's miniseries adaptations haven't gotten this right.