There are many books and patterns that show you how to quilt using FQs. Check out the Moda Bake Shop below with their yummy recipes for FQs:
http://www.modabakeshop.com/search/label/Fat%20Quarters
Me too have a box full of FQs and I'm wondering what to do with them. My objective now is to find suitable projects so I could quickly clear my stash.
Have fun! :)