Ouran High School Host Club. It's very funny and is perfect for girls her age and up. I'm nearly done with it, so trust that I haven't found anything inappropriate. Also Fairy Tail is really good, if she likes action. Oh, oh and Amnesia. Well, there Ты go! Three really good animes to start off with!
Well there's lots of genres, so it really depends on her interests. If she'd rather comedy/slice of life/etc: -Tsuritama -Lucky Star -Daily Lives of High School Boys -YuruYuri -Aiura -Princess Jellyfish -Baka to Test
If she's into drama: -Angel Beats -AnoHana -Death Parade -ef: A Tale of Memories -Attack on Titan -Death Note -Madoka Magica
If she likes romance: -Toradora -Ouran High School Host Club -Gekkan Shoujo Nozaki-kun -Kamigami no Asobi -Amnesia
Or, others! Some of those mix into each other, and there are loads of еще genres so yeah
Fruits Basket ~Plot Summary: Tohru Honda is 16 год old orphaned girl who gets invited to live in the house of her classmate, the handsome boy Sohma Yuki, and his cousins, 16 год old Kyo and 27 год old Shigure. However, these young men and parts of the rest of their family (both close and distant) hold a curse; if they are hugged by the opposite gender, they transform into Животные of the Chinese Zodiac. Everyday is an adventure for sweet Tohru, as she gets to know everyone in the large family better (especially Yuki and Kyo), in both common and bizarre situations. But, the Sohma Family curse is certainly no laughing matter... it also holds horrible cruelity and heartbreak. ~ link
Fruits Basket Sailor Moon Cardcaptor Sakura Fairy Tail Dog Days Princess Tutu K-ON!! Pretty Cure Jewelpet Shugo Chara Lucky Star Any of the Studio Ghibli Movies Magical Girl Lyrical Nanoha Angelic Layer Toradora Chi's Sweet Home/Chi's New Address Skip Beat Clannad Энджел Beats Hetalia InuYasha D.N. Angel The Melancholy of Haruhi Suzumiya Soul Eater