I’m not a big fan of these things, as each actor who has played The Doctor brought something unique to the character. Everyone’s got a favorite, and no popularity contest is going to change that. Plus, they’re usually heavily biased to the newer Doctors, as they are the ones everyone has seen most recently (not to mention the ones getting the benefit of a real budget).
The cool thing is that they are presenting a video clip of each Doctor for you to watch. The clips seem a little more representative of the show and its strange villains than ones designed to showcase each individual Doctor, but they’re still fun.