Time-Space Visualiser

A Time-Space Visualiser (also known as a Space-Time Visualiser or Time Television) was a device that allowed the operator to tune in to any event in history.

History
The origins of the Visualisers remain unknown. One ended up in the Space Museum of the Morok Empire, which was given to the Doctor by Tor as a souvenir after helping to defeat the Moroks. (DW: The Space Museum)

After getting the Visualiser to work again, the Doctor and his companions used it to observe Queen Elizabeth I and Francis Bacon meet with William Shakespeare, Abraham Lincoln deliver his Gettysburg Address, and the Beatles perform "Ticket to Ride". The Visualiser later showed them the Daleks launching their DARDIS on a mission to exterminate them, which enabled them to buy them some time. (DW: The Chase)

The Doctor later used the Visualiser to trace the origin of an alien spaceship fragment to the island of Saluta in 1934, creating a time bridge to that year. (MA: The Eye of the Giant) He kept it as late as his eighth incarnation. (DWM: Happy Deathday)

Functions
The Visualiser could "tune in" to events all over the universe in many time eras. The Doctor said that the Visualiser could only show events in the past. (DW: The Chase) However, Faction Paradox used a Time-Space Visualiser (presumably a different model) to forecast Fitz Kreiner's future, showing him an image of himself as Father Kreiner. (EDA: The Ancestor Cell) Izzy Sinclair used the Time-Space Visualiser to play a video game involving the Doctor and his past incarnations. (DWM: Happy Deathday)

Behind the Scenes
The New Zealand Doctor Who Fan Club has a long-running fanzine called Time-Space Visualiser or TSV for short.