A burglar was a type of thief who broke into places of work or people's homes usually when no-one was around, or when the occupants were simply unaware of their presence.
Johnny Philpot was a burglar who broke into a scientific research centre, but accidentally activated a time machine. (COMIC: The Unwilling Traveller) Similarly, John Kelly, a "cat burglar", found himself transported back in time by a sarcophagus after breaking into a museum. (COMIC: Dr. Who's Time Tales)
Finney was a burglar who tried to steal the TARDIS from the Third Doctor and use it to break into banks. (COMIC: The Planet of the Daleks)
David Gilligan was a burglar who tried to rob the house of a family at Christmas in 1987, but he was interrupted by the family and the Eighth Doctor. (PROSE: Be Good for Goodness's Sake)
Lady Christina de Souza was a minor British aristocrat, a cat burglar, and a friend of the Tenth (TV: Planet of the Dead) and Eleventh Doctors. (COMIC: The Eye of Ashaya)
Before completely breaking down, the last act of K9 Mark III was immobilising two burglars and calling the police before Sarah Jane Smith got home. (PROSE: A Dog's Life)
Two burglars who broke into Beth Halloran's house triggered her dormant alien personality, causing her to savagely kill them. (TV: Sleeper)