It's been said countless times before (some of it by me) that anime isn't a genre, but a medium -- a container for different genres. Among them are genres aimed at specific demographics -- shonen for young males, and shojo for young females.
But the intended audience for something isn't always the audience it ends up with -- look how broad the fandom for the new My Little Pony series ended up becoming! -- and the same applies to shojo anime as well. The "for girls" label is often just that -- a label, and not an all-enclosing definition (as was especially the case with Revolutionary Girl Utena, shown here [compare prices]).
We've run down a list of the best shojo anime titles for both male and female audiences, with some clues as to what makes each one tick. "Magical girl" titles like Cardcaptor Sakura and Puella Magi Madoka Magica sit side-by-side with more experimental stories like Utena and foundational titles like Rose of Versailles.
Image: Revolutionary Girl Utena: The Student Council Saga, courtesy Pricegrabber.