30th century

The Earth Empire fell late in the 30th century. (TV: The Mutants) By this time Overcities, large tower blocks the size of cities, had large anti-grav engines which allowed them to hover over the undercities. (PROSE: Original Sin)

In the late 30th century, the Black Hole of Tartarus presented a hazard to spacecraft. (TV: Terror of the Vervoids)

The standard of craftsmanship in the century may have been very high, as the Fourth Doctor estimated that the later interior of the Nerva Beacon had originally been built in the late 29th or early 30th century. At the time he made this judgment, it had been left mostly alone for at least ten thousand years. (TV: The Ark in Space)

On Solos, Solonians started to mutate into their insectoid phase as their planet experienced summer. (TV: The Mutants)

The Dalek Civil War took place between the Dalek Supreme's Renegade Dalek and Emperor Davros' Imperial Daleks. It ended with a skirmish on Earth in 1963, which resulted in the destruction of Skaro. (TV: Remembrance of the Daleks)

The First Doctor, John and Gillian prevented the Kleptons from conquering the Thains. (COMIC: The Klepton Parasites)

A force of Cybermen left this century in a time machine and landed on Earth in 1939, only for their invasion to be disrupted by the outbreak of World War II. The Seventh Doctor described their methods of time travel as "still not up to much" even by the 30th century. (PROSE: Illegal Alien)