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If they resemble Asians and fail to look American...then doesn't that prove what you're trying to say wrong? You don't know what you're talking about...
Ever stop to think that these things don't just happen...they aren't just randomly drawn...that some actual thought goes into the production and design of a character in an Anime? The way the "Anime" you're talking about is drawn is a specific style of anime...it isn't ment to be realistic, hell half the **** they focus on are made up creatures! Unless you take the time to look at the context of the Anime you are in absolutely no position to make a judgement as to whether or not they are failing miserably.
Anime is made in Japan for Japanese people, it is as simple as that. American's just import it. It isn't being made for an American audience, American's bring it here and shape it into something they want it to be. What you see on the Cartoon Network aired in Japan years ago. If you think they're trying to emulate American's and are failing at it...again, you just don't know what you're talking about.
If you're going to critique Anime because you feel they don't look like real people you might as ****ing well complain about Seaseme Street because the puppets don't look like their real animal counterparts. When was the last time you threw some bread to a duck that looked liked Big Bird?
It is artistic interpretation. That is all it is. Anime isn't realistic by any means. It isn't a documentary, the creators of this know that - just as the creators of the Teenage Mutant Nina Turtles know that turtles don't fight, giant rats don't talk, and reporters with incredibly disproportionate figures don't fight alongside them. Or that Matt Groening draws the Simpsons with yellow skin and four fingers. Surely the Simpsons are American, yes? They don't look it! Man Matt Groening really f*cked that one up, huh?
You can hate the style of it all you want, I hate the style of all Anime that airs on the Cartoon Network and the WB as well, but at least I have enough sense to know that it was an intentional style choice and that they weren't simply trying to emulate Americans and failed miserably.
Plus what you're refrencing normally isn't even considered Anime by the people who create Anime (the Japanese as you so astutely pointed out), they are more cartoons than they are true Anime - which is why they air on the Cartoon Network and the WB.
I'm sure even you could notice the glaring visual differences between a cartoon Anime, like Pokemon, and a real Anime, like Berserk.