Pete the cat
I found this idea on Pinterest, here
In the above link you can find more about the books for which you can use this cat and a link to a youtube video with the story.
Here is what I have created. At the bottom of this webpage you can find and download a .pdf with the pattern I have made and a photo tutorial with the different steps of this creation. I used Velcro but it is not really necessary, felt sticks on felt.