How do Japanese females view anime?

American media tends to portray females as strong willed, goal minded, intelligent people.  While anime does this as well, there tends to be an emphasis on characters driven by emotions.

How do females in Japan view representations of females in anime?  In other words, what seems "off" or "wrong" about a certain female portrayal, and what seems accurate?  What do females in Japan criticize or feel offended by with character representations. 

For example, a shy, narrow minded, ditzy girl might seem "sexist" in the US, but would simply be one of any number of personalities in anime.  Other examples include girls that are overly enthusiastic, overly emotional, overly shy, naive, innocent, hyper, etc.

Do Japanese females prefer certain types of personalities, or wish females were represented in different ways than they currently are?    

>But yeah, Japan's pretty sexist in real life too.  Domestic violence and rape are only just
>beginning to be addressed as problems over there.  Most rapes aren't reported and the men
aren't punished, because the woman would be too afraid to shame herself or her family,
or to compromise the honor or position of the man who did it (I hear this is especially
the case when girls at school are molested by teachers).

That's a typical misunderstanding of American racists. What you are talking is Korean situation, not Japan.
It's opposite in Japan: girl's blackmails are recognized as social problem these days.
The girls pick some coward-looking innocent man in crowded train, and accuse him as a sexual molester.
Not to be sued only to lose all his sosical position, man pays consolation money.
Mass media reported that a certain girl and her parents made big money with this blatant deception.

in women that is equal to or greater than the men, and this is often the case.

I think that's true, and my question is why American still think Japanese is sexist, even after
they watch anime like Sailer Moon. They watch only porn anime?