12: Peter Capaldi: will be starting his role as the doctor in December 2013.
Peter Cushing played the Doctor in three feature films.
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Out of all the actors who have played Doctor Who only 3 of them have died. Those 3 are: William Hartnell, Patrick Troughton and Jon Pertwee.
Sylvester McCoy, the Seventh Doctor, and David Tennant, the Tenth Doctor, are the only Scottish actors to have "officially" played the Doctor, though many companions and side-characters have been Scottish. UPDATE: As of 2014, Peter Capaldi has taken on the role of the Twelfth Doctor becoming the third Scottish actor to "officially" play the Doctor.
Which ones- do you mean just the actors who played The Doctor, or are you including his companions and other major stars from the series? You need to try and narrow down your question before it can be answered.
Rex Harrison
As of today, (15/04/2017) 12 people have played the Doctor. This total can be raised to 13 if you count the War Doctor.