24th century

In about the 24th century, London ceased to exist as a distinct geographical and political unit. It was absorbed into a greater metropolitan area that — by the 28th century — was called Central City. (TV: "Strangers in Space") West London, including Perivale, was a forest. (PROSE: The Dimension Riders)
In a parallel universe, Earth continued to flourish as a member of the United Federation of Planets during this century. Its allies included the Klingon Empire. (COMIC: Assimilation²)
The city of Prague was removed from space-time by a group of Crei and brought aboard their spacecraft so they could search for the Tipping Device. The Third Doctor was captured and forced to help them look for it, but he tricked his captors and returned Prague to Earth. (PROSE: Midnight in the Café of the Black Madonna)
A new series of James Bond films were made during this century. (PROSE: Synthespians™)
At some point in the century, the Tenth Doctor took Gabby Gonzalez and Cindy Wu to Cosmomart. (COMIC: Supremacy of the Cybermen)
== Alternate timeline ==
In a potential history shown by the Eleventh Doctor to Jean-Luc Picard, the Cybermen, having integrated both the Doctor's N-Space and Picard's parallel universe, successfully conquered the Borg Collective and began a campaign to convert the galaxy. (COMIC: Assimilation²)
In an alternate timeline created when Rassilon allied with the Cybermen, the Sontaran Empire had fallen to the Cybermen in the 24th century, the conquerors abducting the Tenth Doctor, Cindy and Gabby to help them defend Sontar. Though the Tenth Doctor failed to save the planet, this sequence of events was undone when a remorseful Rassilon joined with the Twelfth Doctor to defeat the Cybermen. (COMIC: Supremacy of the Cybermen)