I bought several of the LadyBird "Read It Yourself" books for Felicity some time ago, at Levels 1 and 2. They are good, and Felicity likes them. The good thing is that it has many 'famous' stories, and it's in levels.
But then, many books are similar and serve the same purpose, and which she likes just as much or more. Her favorite ones are actually those by Disney since the cast of characters are often those she is already familiar with (you can see her reading the Level 2 Cinderella book here:http://www.brillbaby.com/teach-baby/baby-reading-videos/Page-4.php#flick4
Her latest fav is "Tinkerbell" (Disney level 3), which I bought recently not long after she watched the movie.
My suggestion would be to buy a variety of books, at the appropriate level. If it's a topic that she'd be more interested in (eg., because of the characters involved), then that would be better as their interest level would be higher.
Eg., Felicity would naturally like the LadyBird's "Beauty and a Beast" Read it Yourself book because she knows the story from the Disney movie. But then, if it was the real Disney version where the characters also look the same, she would like it even more, since she's already been playing with the exact same toy "Belle".