Well, I've met Tom twice - first time when I was only 5 and he was still playing the Doctor (around 1979) and the again in 1997 at his book signing tour. As for other Doctors, I got to shake the hand of Jon Pertwee when I was about 7, he was dressed as Worzel Gummidge as he was open a local gala event. Then I saw Colin Baker when he played Dr Who on stage in The Ultimate Adventure in 1989.
Well I've met Colin Baker on one occasion aswell as Sylvester McCoy, got autographs from both of them. Seen Trevor Martin and Nicholas briggs who have both played Doctors on stage and on audio. Would have liked to have seen Jon Pertwee, and I really want to see Tom Baker sometime in the future.