I have also sent many quilts to Margaret's Hope Chest. They have two programs.
The first is called Wrapped in Hope:
http://wrappedinhope.blogspot.com/
They provide a quilt that you make to a child on his or her birthday. All of the children in the program have one or more parents in prison. The quilt is a gift from the parent in prison.
They also collect quilts and distribute them year round in several ways. Again, in prisons, but also within the community to those in need.
http://margaretshopechest.blogspot.com/
They accept quilts all year and are not really particular about pattern or style.
This is a great organization as are all of the others mentioned here.
Find the one that speaks to you. :)