People make equivalences all the time between Anime and any other television or media, but the truth is that the bulk of anime is more throwaway and trope-y than others and I got tired of wading through the otaku-pandering crap to find the gems as more and more got released here. The way people act even in "normal life settings" in anime (generally speaking) doesn't really ring true to life and just feels stupid.
And it's disturbing how it kind of infantilizes females. Even the stuff for women kind of limits the scopes of their lives to waiting for a cute boy to uguu at. The "strong" female characters in action anime and such ultimately serve as eye candy/male fantasy too. There's really nothing more annoying and sad to me than female otaku who adopt these personas modeled after what Japanese animators think women should be.
And I don't care about the examples that will obviously exist that don't fit this mold. I'm talking about the overall culture.
Western TV can be trope filled to the brink as well. Hell, Lindelof made a fucking career out of it. That's not even getting into particular genres such as science fiction or comic book movies. And I'm talking about the 'higher' tier of Western television/movies. I won't even get started on all the junk in both films and TV.
As to your complaint about women, it's valid but again almost all media does this to a large extent now. This is especially true in nerdier cultures. Videogames aren't any better. At all.