Actually, it's stated that all conceptual characters and written story have been repeated by numerous authors since the days of the Greeks. Why, we even define basic concepts and rolls of our stories by early play write concepts. What would a story be without an antagonist to loath to oppose the protagonist, with whom your audience is supposed to understand or relate to on some level? The concept of character arch typing has continued through literature for centuries, it didn't start with anime.
I'm fine with these concepts, so long as they are PARTS of the character in question. It's alright for the male lead to show immaturity around females, or for one of the characters to put up a tough persona while being sweet deep down. The problem arises when that's ALL these characters are. Then, you're not writing a character with literary norms in their persona, but you're writing a persona in place of a character. If you don't create a character to explain their actions and eccentricities, you don't give your reader something to grasp beyond the outer characteristics of a stereotype.
In a grander scheme of things, we do this on a daily basis, as these simple ideas of labeling are how we define the world around us as well as ourselves (part of the reason I choose to hide my gender and preferences). Think hard about how the media portrays homosexuals or ethnic minorities. Even with America's attempt to create a unified equality, everyone has some odd concept in their mind about how a gay male acts, or what someone from France acts like. Without understanding an individual, all we see are their outer characteristics. It's a bad habit that all of humanity shares.
Anyway, sorry for that rant. Long story short: Characters should possess character traits, not be possessed by them.
