My girls are 4 1/2 and 6, and they have several chapter books they enjoy. We've read Charlotte's Web and a couple of the Little House books, too. I also was not impressed with Stuart Little (and neither was my 4-yo).
Some others that you may want to try...
Magic Treehouse series (adventure stories with a brother and sister)
Junie B. Jones series (the first ones start with her in kindergarten)
I can't remember the name of the series, but there are a bunch of fairy chapter books with titles like Scarlet the Garnet Fairy, Bella the Bunny Fairy, and Megan the Monday Fairy. (We started with the animal series -- bunny fairy, pony fairy, hamster fairy, etc. -- and those were great for my girls who love fairy stories.) Basically, each story has two girls who have to help the fairies recover something that Jack Frost and his goblins stole from them. Simple concept, but my girls enjoy it.
Oh, and we tried one of the Ramona books, but it didn't have enough pictures to keep my 4-yo interested.
There are also some easy reader chapter books -- things like the Young Cam Jansen series -- that might appeal to her.
They're not chapter books, but if you have a girly girl, you may want to check out Pinkalicious and the Fancy Nancy books. Those aren't so preschool-y, and they're really cute.
Ask at your local library, and I bet they'll have some great recommendations for you, too. I know we've gotten some fun reads just by asking the librarian.