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")

Also this century, humans discovered the planet Solos, colonised it, and started to exploit its inhabitants, whom they mistakenly believed to be "primitives". (TV: The Mutants)

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™)

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)