The International Gallery
Christina steals King Athelstan's Cup in season 4 special “Planet of the Dead”.
The Doctor brings Amy here to look at the paintings of Van Gogh, and later brings Van Gogh himself here in episode 5x10 “Vincent and the Doctor”.
The National Museum (exterior & entrance)
Amelia and Aunt Sharon go to the museum in episode 5x13 “The Big Bang”.
Henry van Statten's Museum
Rose and the Doctor lands in an underground museum containing many space objects in episode 1x06 “Dalek”.
Lazarus Laboratories Entrance
People flee the party and converge on the street outside in episode 3x06 “The Lazarus Experiment”.
The Queen waves at the Titanic as it flies away from the palace in 2007 Christmas special “Voyage of the Damned”.
St. Luke's University (lecture hall)
The Doctor gives a lecture to a classroom full of students including Bill and Heather in episode 10x01 “The Pilot”. The Doctor gives a lecture on how one dies in a vacuum in episode 10x05 “Oxygen”. The Doctor is standing in the dark hall when representatives from the Vatican arrive to request his help in episode 10x06 “Extremis”.
Stairs inside the Passenger
Vinder is transported inside the Passenger and meets Diane who he recognizes from his trip through time in episode 13x05 “Chapter Five: Survivors of the Flux”. Diane and Vinder race up the stairs to escape the Passenger and later return when the TARDIS arrives in episode 13x06 “Chapter Six: The Vanquishers”.