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Dick Tracy is a parody of the pre-Noir 1930s gangster pictures. If you really want to call it Neo Noir, I mean...since it's one of those malleable definitions I suppose one can, but it isn't calling upon Noir tropes or themes. It is very purposefully an old-fashioned crime picture, with a wink. In comic book colors. Elements of Madonna's character Breathless Mahoney are the closest to classic Noir, but nothing else around her really is.
crime ≠ Noir
trench coat ≠ Noir
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"Film is a disease. When it infects your bloodstream it takes over as the number one hormone. It bosses the enzymes, directs the pineal gland, plays Iago to your psyche. As with heroin, the antidote to Film is more Film." - Frank Capra