Do you mean psychoanalysis or psychoanalytical because I think the latter relates more to FreudPretty much anything,
Buffy the Vampire Slayer - Inversion as the lead character is giving a female lead however she still has to depend on a man for help in her mission - Angel
V for Vendetta - Ultimate Classic - Marxist the repression of the people by the state will eventually lead to the withering away of the state as is seen at the end when the people stand up for themselves. Also, 1984 the movie.
Does The Simpsons count? The Simpsons - The relegation of Marge to the stereotypical female role in which she is responsible for the upbringing of her kids; even in a modern world she is still trapped as a house wife.
Scrubs - Elliot - the female character is emotionally unstable and depends on men.