Dr. Who is a game that seemed to me like a classic and a potential long term keeper at first. But after a few months I tired of it and felt like it was too exploitable with it's unbalanced scoring.
Shadow took a few months to grow on me, but 16 years later is still in the gameroom. It is simply an amazing all around game. It has no flaws outside of maybe the translite art or lame movie theme. Great flow, great rules, great sound package, lighting, cool interactive toy, it has everything.
These machines are not very close in the end...unless you are a total Dr. Who fan. If not, Shadow is the easy choice here.