I don’t know if I would have played a Super Nintendo version of Doctor Who. What would the game entail? Solving puzzles? The Doctor rarely kills in the series through direct action and almost never carries guns. I suppose if you played his companions (River, perhaps?) you could make it a little more action-oriented.
That said, puzzles can be fun and the Doctor always manages to get himself into situations where a little brains are needed. Who knows? It could have been a fun game, and this might have been the opening credits (after the fold):
(Thanks to SF Signal for the discovery.)