In the science fiction/fantasy series The Pendragon Adventure, the territory of Third Earth exists in 5010, the future of Second Earth. It is presented as a utopian society, with almost every man-made structure situated underground or in space, leaving the surface of the Earth to flourish.
Around 5020, the events in Orson Scott Card's books, Speaker for the Dead, Xenocide and Children of the Mind, of the Ender's Game Series take place.
The 2001 film Planet of the Apes takes place predominantly in December 5021.
In the Blake and Mortimer album The Time Trap, this is the last century of existence for an unnamed world totalitarian government, which originally took over in the late 21st century.
In 5060, a worldwide revolution, commanded by Focas, overthrows this regime and presumably builds a better and more just world.
In 5100, the music video for On My Way takes place.
In 5167 CE, the Andromeda Ascendant will be rescued by the crew of the Eureka Maru.
In Terror from the Year 5000, a 1958 American science fiction film, a time machine made by Professor Howard Erling brings back a deformed woman from circa 5200 AD.
The Territory of Veelox, in the Pendragon Adventures, takes place in 5500.
The Territory of Quillian, in the Pendragon Adventures, takes place in 5600.
In 5700, in the DC Comics universe, the Green Lantern at this point will be Pol Manning. By now the Solar System is run by a government led by the Solar Director. The technology is capable of taking Green Lantern from his own time and implanting new memories of his identity into his mind.
In the Japanese manga Dr. Stone, in which all of humanity is turned into stone, Taiju breaks free of his petrification on October 5, 5738.
The Territory of Ibara, in the Pendragon Adventures, takes place in 5800.
In reference to this, according to Amalgam Comics continuity, the Iron Lantern at this point will be Arno Manning, defending a futuristic Coast City.
The 51st century is the original time of Magnus Greel in the 1977 Doctor Who serial The Talons of Weng-Chiang. Greel was "Minister of Justice" under the tyrannical "Supreme Alliance," and responsible for the deaths of 100,000 people, earning him the epithet "the Butcher of Brisbane." In 5000, the Filipino Army defeats the Alliance at the Battle of Reykjavík, during the closing stages of World War V. Using zygma-energy powered time travel technology, Greel escapes to the 19th century Chinese Empire and steals energy from women to survive, but dies in Victorian London.
There are many references to the 51st century in the revived series of Doctor Who. One of the Doctor'scompanions, Captain Jack Harkness, originates from the 51st century, although it is unclear whether or not he or his parents participated in the events of World War V described above.
Further references in Doctor Who include the events of "The Girl in the Fireplace" partly take place during sometime in the 51st Century, on a spaceship inhabited by malfunctioning clockwork robots, who open time windows to the past. The two part story "Silence in the Library"/"Forest of the Dead" and part of the events of "The Time of Angels", each involving River Song are also set during this period, partly in a prison River Song is in. This is also the home time of K-9 Mark I. Apparently by this time humanity has spread to many worlds around the cosmos.
Music
According to the song "In the Year 2525" by Zager and Evans, by the year 5555, machines will have taken over all physical tasks, eventually rendering man's arms and legs useless.