Mr. Light has the ability to jump and run while Dr. Shadow can walk on all non-destructive surfaces, move objects and drop from the current surface. The artwork and animation is fantastic with only a few minor glitches in the controls where Dr. Shadow was concerned. I would occasionally not be able to walk off a surface onto it's side but this can be patched easily enough.
While you are there check out their other free game The Balloon Quest, another platformer with a twist containing some truly amazing Disney-esc music and full voice acting.