Guide:Episodes for those who left with Tennant
Did you leave during The End of Time and you want to get caught up on the show? You don't just want a plot summary - reading isn't the same is watching, but, gosh, it's a lot of TV to watch to get caught up. Look no further. This is a recommended viewing guide to catch up with the plot of the show since you left. You might miss some small things, but the big plot points are all gonna be hit by this guide, and it also mentions the episodes that people generally regard as standout hits in case you want to watch those as well.
Series 5: The Eleventh Hour, The Time of Angels, Flesh and Stone, (The last 5-10 minutes of Cold Blood), The Pandorica Opens, and The Big Bang
Series 6: The Impossible Astronaut, Day of the Moon, The Doctor's Wife (This is not necessary, but the episode is generally regarded as very good), (The last 5-10 minutes of The Almost People), A Good Man Goes to War, Let's Kill Hitler, The Girl Who Waited (One again, this is not necessary, but the episode is generally regarded as very good), and The Wedding of River Song
Series 7: Asylum of the Daleks, The Angels Take Manhattan, The Snowmen, The Bells of Saint John, The Name of the Doctor, The Day of the Doctor
Series 8: The Time of the Doctor, Deep Breath, Listen (This is not necessary, but generally regarded as very good), (The last 5-10 minutes of Kill the Moon), Mummy on the Orient Express, Flatline, Dark Water, Death in Heaven
Series 9: Last Christmas, The Magician's Apprentice, The Witch's Familiar, The Girl Who Died, Face the Raven, Heaven Sent, Hell Bent
Series 10: The Husbands of River Song (This is not strictly necessary, but it's generally liked, and it's helpful for both resolution for previous character beats and context for the next few episodes), The Pilot, Oxygen (At least the last 5-10 minutes, but the rest is well liked), Extremis, The Pyramid at the End of the World, The Lie of the Land, (The last 5-10 minutes of The Eaters of Light), World Enough and Time, The Doctor Falls
Series 11: Twice Upon a Time, The Woman Who Fell to Earth, The Ghost Monument, The Battle of Ranskoor Av Kolos
Series 12: Spyfall part 1 and 2, Fugitive of the Judoon, The Haunting of Villa Diodati, Ascension of the Cybermen, The Timeless Children
Series 13: Revolution of the Daleks, The Halloween Apocalypse, War of the Sontarans, Once, Upon Time, Village of the Angels, Survivors of the Flux, The Vanquishers, The Power of the Doctor
