I never made this connection before, but director Sam Mendez of the next Bond movie (Skyfall) points out a remarkably obvious similarity in retrospect:
MENDEZ: That’s why I mentioned the word in the press conference, “regeneration†rather than “evolving,†because I feel it is like, you know, we have Doctor Who…there’s a geek answer…we have Doctor Who and I was brought up on the idea of Doctor Who, who at the end of his final episode, he dissolves and a new actor pops up and he regenerates and it’s a whole other character: sometimes it’s an old man, sometimes it’s a young man, but he just changes. I’ve always loved that idea.
The interesting thing here is that unlike other characters, both Bond and The Doctor are actually different in each regeneration. I mean, we’ve had multiple franchises for Batman, Spiderman, and Superman, but none of them really offer a really different take on their titular characters. Bond actually changes quite a bit between incarnations, with Moore being more reserved, Connery being more charming, and Craig being more conflicted. Of course not as much as The Doctor, but the idea is interesting.