There have been three movies based on Doctor Who.In the 1960s, there were two movies made. Dr. Who and the Daleks (1965) and Daleks' Invasion Earth 2150 A.D. (1966). Both of these starred Peter Cushing as a human scientist named Dr. Who, who invented a time machine called Tardis. The second of the two films featured Police Constable Tom Campbell, played by Bernard Cribbins. Forty-one years later, Cribbins appeared in the TV show itself, playing the recurring rôle of Wilfred Mott between 2007 and 2010.
These Peter Cushing movies were based on the BBC TV show but weren't part of it. (They were not made for TV, nor were they made by the BBC.) They were remakes of the Doctor Who stories "The Daleks" and "The Dalek Invasion of Earth".
You may occasionally see reference to aborted plans for a third Cushing movie based upon "The Chase", however this has been debunked and there's nothing to suggest a third Cushing movie was ever considered.
There was, of course the 1996 TV Movie, starring Paul McGann in his only full-length on-screen appearance as the Eighth Doctor. (He reappeared in the 2013 mini-episode "The Night of the Doctor".) The 1996 TV Movie was part of the BBC TV show, made for TV by the BBC & its partners. Although some fans have tried to discount it (due mostly to some controversial revelations about the Doctor's character and the TARDIS), the revived TV series has recognized it, with the episode "Journey to the Centre of the TARDIS" explicitly confirming several facts about the TARDIS that originated in the TV movie.
In addition to the above, there have also been special stand-alone, feature-length episodes of Doctor Who on occasions that could be considered movies in their own right: these include "The Five Doctors" (with a 90-minute running time it remains the longest single "episode" of the TV series ever produced, even longer than the 1996 TV movie) and "Voyage of the Damned".
Both "The Day of the Doctor" and "Deep Breath" have been referred to as movies due to both their running times and the fact they were shown in theatres, but they are officially considered episodes, not films.