Sofia the first is my fav. I don't watch these but want to one day. Doc mcstuffins and Goldi and bear are others that come to mind. They're all from Disney though. Don't know any anime, sorry.
I'm a rather huge fan of Rainbow Brite. (Showing her age here.) The movie, "Rainbow Brite and the Star Stealer" is just awesome. It's not anime but it's super-cute.
Oh and also... this came up recently in chat with someone... The New Adventures of Pippi Longstocking! ^_^ I love it!
"Pippi Longstocking is coming into your world! A freckle-faced red-head girl! You oughtta know, she'll throw your life into a whirl! Woah! Woah!" It's just great stuff. ^^
I'll second Winx Club "Hanamaru Youchien (Hanamaru Kindergarten)" is only available subtitled, that's only really "little girl" anime I've noticed, although LOTS of them feature little girls, I don't know which ones are good. I've never watched Hanamaru Youchien (Hanamaru Kindergarten) , either, but it seems like what you might be looking for
P.S. I'm a fan of the classics... Disney Princesses, Tinker Belle, Alice in Wonderland, etc...