I like animes that are about strong and independent girls or feature strong and independent girls (such as SAO, with Asuna, and no I do not want to hear about what you think of SAO because I'va heard it all before, and Angel Beats, with Kanade.)
Most Helpful Guy
Ghost in the Shell.
Strongest female lead you'll see.
Followed second by Kara No Kyoukai - 7 part movie series with the most badass female lead you'll see.
Honorable mention would be the Fate series - loads of strong females all over the place.
start with fate zero -> fate unlimited blade works1
Most Helpful Girl
hmm... boys over flowers?0