These lucky anime titles have been viewed in their entirety by yours truly.

Seen all Rating Comment
20th Century Boys (live-action movie) Very good
3x3 Eyes (OAV) So-so
3x3 Eyes Seima Densetsu (OAV) So-so
Akira (movie) Decent An anime classic with plenty of large-scale visuals and interesting elements... that have already been done before. Akira doesn't do a good enough job explaining, or even hinting, at its more complicated aspects, and settles for visual wonder and trippy, bizarre scenes to justify its mysterious namesake and the powers protecting it. It's worth seeing for the milestone it set for anime films of its time, but it somehow lacks the integrity of previous sci-fi titles, and certainly the manga from which it's based.
Android Kikaider - The Animation (TV) So-so
(The) Animatrix (OAV) Decent (dub & sub)
Appleseed (movie) Good A decent action flick with some interesting ideas and exciting action scenes, but it doesn't excel in any particular area, and moreover, has its share of bad melodrama and ponderous plot elements. The CG isn't great either. The soundtrack is probably the highlight, with tracks by Basement Jaxx, Boom Boom Satelites, and others.
Armitage III: Poly-Matrix (movie) Good
Armitage: Dual-Matrix (movie) Decent
Baccano! (TV) Masterpiece
Battle Angel (OAV) Decent
Battle Athletes (OAV) Awful
Be Forever Yamato (movie) Decent Probably the most ridiculously implausible storylines (even for Yamato), with a lot of over-the-top elements. However, also very fun, even if it takes itself way too seriously. Visually, it's gorgeous, even for today. Miyagawa's score is, of course, excellent.
(The) Big O (TV) Decent (sub), Very good (dub) Big O is an interesting blend of retro-futuristic mecha action and mystery, with a snappy, often jazzy soundtrack and an art and a style reminiscent of Batman: The Animated Series (which was also partly animated by Sunrise). The series was popular enough in the United States for Adult Swim to finance a second season, with mixed results. Despite a bizarre, hurried ending and a change of style in the animation, the second season fares decently. Overall, the series is worth the price of admission, even if you might not feel completely satisfied by the end. An OVA chaser might work. I'm begging you, Sunrise.
Birth (OAV) Decent
Black Jack (OAV) Decent
Black Jack The Movie Decent
Black Jack: The Two Doctors Of Darkness (movie) Decent
Blood+ (TV) Not really good Blood+ is a show that would have been great had it been much shorter, about half as short, and the cast trimmed down. There's a lot of the same over the course of the show, and the protagonist doesn't really spring into action until the second half. It feels like the plot is being stretched too far and they're trying to wring more out of it than can be wrung. Most of the interesting characters are antagonists, while the heroes are all pretty bland. It almost seems like teen girl wish fulfillment dressed up as horror/action. I wasn't invested in it at all.
Blue Gender (TV) So-so
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