I remember Doctor Who from when the original series was on back in the 70s. That was during Tom Baker's run. For the longest time, he is who I always thought of as The Doctor.
My favorite Doctor has to be David Tennant though. He brought such passion and empathy to the role, that I felt he was a real person. I still remember "I don't want to go."

And of course
Allons y!I loved Peter Capaldi as the Doctor. But unfortunately the writing in his era is not what it was in previous times.
I really liked big ears Christopher Eccleston. I wish they had given him more than one season. He was fantastic in the Dalek episode.
Strange as this may sound, I am a big fan of Paul McGann as the Doctor too. I have never seen the movie he starred in. I only saw him in a little short that came with the 50th Anniversary disc, where he dies and the War Doctor is born. But I have always been a big fan of his in other things. His voice is incredible.
Oh, and
Bad Wolf!