Ghost in the Shell[ features some phenomenal animation, but the story is fairly boring and talky. It's a good film, but rather overrated. Sort of like an animated Blade Runner (which is also, IMHO, a grossly overrated movie).
I vastly prefer anime movies to anime series, for the same reason I shun television and watch movies instead. I usually just want a stand alone story, but your preferences may be different.
American cartoons have nothing on anime. True, some animators in the westren world are mavericks, like Ralph Bakshi and Todd McFarlane. But in the US it has yet to catch on that animation is a wonderful medium and need not be limited to the realm of kiddie movies. Here are some of my favorite anime movies:
Akira: This one is the bar of all anime. It is, IMO, one of the most extraordinary animated films ever made. It is based on a complicated manga that runs over 2,000 pages long, and since it is condensed into a two hour movie, the plot is rather convoluted and confusing. But this rather adds to the chaotic urgency of this powerful, post-apocalyptic orgy of destructive creation and metaphysical meaning.
Princess Mononoke: Probably the most tremendous example of animation that has come from Miyazaki (called the Disney of Japan, but that's an insult to him; his movies are far more intelligent and meaningful than anything Disney). This one tells of an absorbing epic conflict between man and nature which absolutely refuses to moralize or provide us with convenient villians. The mythical world it presents is beautiful, developed, and compelling.
The other films by this director and animation team are also worth seeing. These include Spirited Away (seen by me and liked), Kiki's Delivery Service, Castle in the Sky, and My Neighbor Totoro.
Grave of the Fireflies: This may very well be the most emotionally heart-wrenching film I've ever seen, animated or otherwise. I hardly know anyone who can sit through it without crying. It's set during WWII, when two orphaned children attempt to live off the countryside of Japan. It completely avoids being political, yet remains one of the most effective anti-war movies I've ever seen.
Ninja Scroll: Jubei is a masterless ninja who is coerced into battling the Eight Devils of Kimoon (sp?) in this relentlessley engaging, brilliantly animated, and incredibly violent anime. This is a fairly short movie (comparatively speaking) of modest ambitions, yet it gets everything exactly right, and even allows room for characterizations and a rather poignant moment dealing with the demise of one character.
Other works by this director that are quite noteworthy and worth seeing include Wicked City and Vampire Hunter D: Bloodlust.
Vampire Hunter D: The original 1985 cult classic adapted from a novel of the same name hasn't aged very well, but it still has a unique atmosphere and artistry. The second, self-contained film, Vampire Hunter D: Bloodlust, is largely the superior work.
Perfect Blue: This is a demented and powerful psychological thriller that pulls us along the ride with the protagonist who may literally be losing her mind. Like all anime films, it is meticulously detailed, and there is one shot in here that Requiem for a Dream rips off liberally.
Wicked City: This is a pretty twisted thriller that sort of plays like a perverted X-files, but it's stylish and imaginatively conceived.
Urotsukidoji: Legend of the Overfiend I know, hentai tentacle-rape isn't most people's cup of tea, nor mine. But in all honesty, this is about as well done as that sort of thing can be. While the temptation is to shrug this one off as artless horror porn, enough artistry, style, and nightmarish imagination lie within it to make this one an unforgetable experience, and superior to the crap that rips it off.
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"And lo, the beast looked upon the face of beauty. And beauty stayed his hand. And from that day on, he was as one dead."