31st century
The 31st century was defined in the calendar of Earth as being from 3001 until 3100.

Events 

  is born. By this time, time travel is so commonplace that there are quantum discriminators in every high school desk. ()

 (circa)
 Daniels, fearing a change in the timeline, transports Jonathan Archer to this time, causing a catastrophic timeline change that wipes out his entire civilization. Returning Archer to 2152 remedies the problem. ()
 An  travels back to the 22nd century, where it apparently suffers some sort of critical disaster. The pilot is killed in the accident and the pod itself is heavily damaged. It is eventually discovered by the  in October of 2152, and Enterprises chief engineer Commander Charles Tucker is able to reactivate the pod's temporal beacon. Within seconds, the pod, the dead pilot, and the beacon itself all vanish, having presumably being retrieved by operatives from the 31st century. ()

 (circa)
 While on a mission to investigate a "dilithium nursery" in the Verubin Nebula, the  crash lands on an astronomical body at the center of the nebula. Responding to the distress call from the Khi'eth, the  is presumed destroyed when it attempts to penetrate the nebula. Six months later, the Khi'eth sends out another distress call that becomes the basis for the melody. ()

 (cira)
 Starfleet Academy closes for unknown reasons. ()

 (circa)
 Most of the Milky Way Galaxy's dilithium becomes inert in what becomes known as The Burn, resulting in millions of deaths when countless starships lose antimatter containment and are destroyed by warp core breaches. The United Federation of Planets is unable to explain exactly what happened, why, or that it wouldn't happen again. Without dilithium, the Federation's presence diminishes to the point where believers in its vision are uncommon. ()

 (circa)
 Captain Jean-Luc Picard estimated that the core of Atrea IV would remain molten until this time. ()

 (circa)
 In the Delta Quadrant, a Kyrian historian named  discovers a backup copy of The Doctor. After he is reactivated, The Doctor corrects the distorted view of  in Kyrian history and precipitates a new harmony between the Kyrian and Vaskan races. After many years as Kyrian Surgical Chancellor, this copy of The Doctor boards a ship and heads for the Alpha Quadrant to find out what happened to Voyager and his fellow crewmates. ()

 (circa)
 Quarren dies. ()

 (circa)
 The Federation moves its headquarters off Earth. ()
 Starfleet leaves Earth, and United Earth leaves the Federation. ()
 Titan splits off from Earth. ()
 Ni'Var leaves the Federation. ()
 A Federation starship visits Ni'Var, becoming the last ship to do so until 3189 when a diplomatic mission brings the  to the former member world. () 
 Deep Space 253 begins trading with an Emerald Chain merchantile. ()

Appendices

Background information 
 Kyrians obviously have had no contact with the Federation between their encounter with Voyager in 2374 and this time, despite claims by Q that the Federation will have a presence in the Delta Quadrant as soon as the late 25th century as per .
 Going by Data's statement that the energy ribbon from  passes through the Milky Way Galaxy every 39.1 years, it could be expected to return in 3034 and 3073.
 The undeveloped series Star Trek: Federation would have taken place in this century.

31st century productions

External link 
 

de:31. Jahrhundert
es:Siglo 31
fr:4ème millénaire#31ème siècle
it:XXXI secolo
ja:31世紀
nl:31e eeuw
sv:3000-talet