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Well, I don't see how it is connected with eating here :D

No, я хочу красной машины is not possible. That's not about its color, it's about the fact that you imply only one car so you can't really say that you want a part of a car. That'd sound ridiculous,...

хочеть? Um, I guess you've meant хотеть.

Both genetive and accusative are possible for a direct object of this verb with a subtle to none change of meaning. Dative? I don't think so.

Example.
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