49th century

In the 49th century, humans terraformed Alfava Metraxis and began to settle the planet. Over the next two centuries its population grew to six billion. (TV: The Time of Angels)

World War V happened at some point during this century. (AUDIO: Singularity)

The Hokrala Corp was active. (PROSE: The Undertaker's Gift)

Time Agents operated in this century. (PROSE: Eater of Wasps, Trading Futures)

Refugees who had from a dying world in this century projected their consciousnesses through time and made contact with a spiritualist named Mrs Vanguard in the 1890s, passing themselves off as ghosts. They planned to transfer their consciousnesses into the bodies of influential people in 1890s London with their ultimate goal to take control of Queen Victoria. From the historical records, they were aware that she was still in mourning for her long dead husband Prince Albert. The refugee possessing the body of Henry Gordon Jago mentioned that, in decades to come, there would be "brutal, terrible wars which will determine the fate of this planet." With one of their kind possessing Queen Victoria's body, they intended to "turn the tides of history" and create a new future, thereby preventing the destruction of their world. Their plan was defeated by Jago, Professor George Litefoot, Ellie Higson and Toby. (AUDIO: The Spirit Trap)

Behind the scenes
In the original Doctor Who pilot episode, Susan Foreman claims that she is from the 49th century. This line was not carried over into An Unearthly Child when it was decided that the Doctor and Susan's race would not be attributed to a specified time.