Good Animes for 13 year old girl?

I'm not a fan of english dubbed v.v but i do know some animes you might like :3

1. Kobato, i just finished this one and its so cute! Omg, the main character is very innocent and naive.

2. Shugo Chara :D my little sister who is 14 loves this one ^^ as do i, its very clean.

3. Ouran Highschool Host Club, i haven't seen this one since i was like your age XD but from what i remember it was clean and very funny.

4. Special A is another good one, romantic comedy, loved this one! Pretty clean, no sexual stuff as far as i can remember o3o

Again, im not sure if these have english dubs D; but all of these animes i highly suggest! Especially Kobato :3
if your looking for that very selfless cute main character, Kobato and Torhu from Fruits Basket are very similar. The picture is of Kobato ^^
Hope this helps ~

Kaleido star!!!! :D

Prince of Tennis...It's full of sports and comedy...

Free! - Iwatobi Swim Club >.<
Hm...
Mermaid Melody
Mew Mew Power <--- these are girly stuff

Have you tried Azumanga Daioh (pictured)? It's funny, PG and one of my favourite animes. Unfortunately it is only available in subtitles...I like Death Note too although I've only watched a few episodes, I don't think it has much major violence (I'm only judging by the manga), but it is kind of dark so I'm not sure whether it's PG or not. There certainly doesn't seem to be anything sexual though, and I don't remember there being any major bad language either.There's also anime movies too, such as Spirited Away and Howl's Moving Castle; these are both rated for 'Everyone' but unlike most animes, these are like Japanese animated movies and so don't have episodes. As for free websites, there are many; I usually use Animehere.com or Animefreak.tv. I'm afraid I've yet to find a site that doesn't have annoying pop-up adverts; they don't seem to be harmful though if just close them down and you should be able to watch the videos without disturbances. Hope this helps :)

Clannad
My Bride is A Mermaid

watch Hajime no ippo the most intense Fighting scene

Watch Lucky Star it is one of the best anime there is. :D The anime gets better after episode 1. But i do like episode one of Lucky Star.

Well the shows I watched when I was 13 were not exactly........kid friendly..........XD i watched elfin lied, durarara, higurashi no naku koro ni, gantz, deadman wonderland, fate/zero, panty and stocking, death note, etc etc.... yeah XD

Smile Precure
Yes! PreCure 5
Yahari ore no seishun love come wa machigatteiru
Pretty Rhythm Rainbow live
Hataraku maou sama
Fantasista doll
Suite Pretty Cure
AKB0048
Love Live
Genei wo kakeru taiyou
Shingeki no kyojin
WataMote
Hyouka
Rozen Maiden
Angel Beats