The Doctor is brought before Emperor Winston Churchill in episode 6x13 "The Wedding of River Song".
The Doctor tries to contact Brigadier Lethbridge-Stewart only to learn that he has died in episode 6x13 "The Wedding of River Song".
The Emperor and the others are teleported to his spacecraft right before the planet is imploded in episode 7x12 "Nightmare in Silver".
The Queen rushes through the halls of the palace to see the spacecraft fly overhead in 2007 Christmas special "Voyage of the Damned".
Martha talks about the war with the Hath and examines the map in episode 4x06 "The Doctor's Daughter".
The President is about to give a press conference when he and everyone else is transformed into copies of the Master in 2009 Christmas special "The End of Time: Part One".
From episode 9x01 "The Magician's Apprentice".
Source: glogbolg — Tumblr
Bill looks up at the clock and sees it is time to visit the Doctor in episode 10x01 "The Pilot".