Definitely Madoka Magica, Rurouni Kenshin (and the live-action movies), Psycho Pass, Fruits Basket, Digimon seasons 1-3, and Ouran High School Host Club.
For cartoons check out Adventure Time, Gargoyles, Batman: The Animated Series, Batman: Beyond, X-Men: The Animated Series, X-Men: Evolution, Wolverine & The X-Men, Avatar: The Last Airbender, Teeange Mutant Ninja Turtles 2003 and 2012 series, and pretty much any Batman animated feature film except The Killing Joke. Read the graphic novel instead.