There are a few elements in the anime/games where it does sort of send that message, yes. Keep in mind, though, that Japanese culture is a bit different. I quote (or at least try to) one of my favorite animes ever, Crest of the Stars, "There is little hope of becoming any more than a good wife and mother..." It's a very different culture there. Look at Jinx. Another example of different culture. Last I checked, there weren't too many black women living in Japan, much less the non-existant "stereotypical" black woman. In fact, I don't personally see much stereotypes anywhere anymore. One example (and I'm sorry if anyone is offended by this, really I am) is that "black people love KFC, cause they love friend chicken" thing. The local KFC is run almost entirely by Mexicans. The Taco Bell up the road is run by the Norwegian-decended white guys, and the McDonald's is run by everyone but white guys. Stereotypically speaking, that's not right.
Personally, I think stereotypes exist only to be defied, and that's what I try to do: stereotypes suck. Stereotypes say I should be sitting here in slacks and a white shirt, equipped with a pocket protector. I'll take some wide-legged jeans and a baggy sweatshirt covering a sarcastic t-shirt, equipped with a GBA-SP and a cell phone myself (I'd have a laptop if I could afford it). For more stereotype defiance, check out http://www.thinkgeek.com
Two of my favorite sites. (Note, certain products (mostly from Jinx) may offend the easily offended, but I think we're all mature enough here, so...)
latina mortua lingua est // ud mortua ud ea possit
prima meas ancestras necavit // et nunc me necat