This is my take on the Laundry basket dresser. I started with the idea based on many photos I found on this site, but made some updates/improvements (well they are improvements in my mind anyway). Please view the last picture that has text for explanations of the "features" of my design.
I did some quick drawings in Sketchup, and then did some work in the workshop. I don't have exacting plans on the exact measurements, but you'd probably need to tweak for the size basket you plan to use.