you might be able to make a table topper or a table runner with your Fat Quarters (FQ's).
There are tons of simple blocks that you can find if you Google beginner quilting patterns, or visit the Quilters Cache - there are little pins by the block names that say the level of the block. One pin is easy, two intermediate etc.
I hope you find what you're looking for and that you post pictures when you're done. :)