50th century

In the 50th century, Felman Lux created the Library, a world-sized library with every book ever written. It ran on a computer core built around Charlotte Abigail Lux, or CAL. (TV: Forest of the Dead)
Later, the Library was infected with Vashta Nerada, triggering the central computer to seal it off. All 4,022 visitors on the planet at the time were "saved", their consciousnesses uploaded into her central core. (TV: Forest of the Dead) It took a hundred years to crack the seals and send an expedition to find out what happened. (TV: Silence in the Library)
At the end of the century, a Weeping Angel was retrieved in Razbahan. (TV: The Time of Angels)
Professor Frederick Marius, K9 Mark I (TV: The Invisible Enemy) and Felman Lux were from this era. (TV: Silence in the Library / Forest of the Dead)
By this century, phonetic spelling was common in the English language. For instance, "Emergency Exit" was spelled "Emergensee Eggsit" and "Service Elevator" was spelled "Servis Ellyvater". (AUDIO: Revenge of the Swarm)
According to one account, the Siege of Trenzalore came to an end during this century. Thirty years after, Tasha Lem was buried in a grave carved out of ice with a TARDIS key. (PROSE: A Perfect Christmas)
The Daleks investigated a spacecraft which had emerged from a spatial rift in the Magellan Cluster. The ship was piloted by spider-like Daleks from a parallel universe, who attacked the Daleks on sight; the ensuing battle lasted months. (COMIC: Fire and Brimstone)