The Celestial Toyroom was a pocket universe and the realm of the hyper-dimensional, immortal being known as the Celestial Toymaker.
Structure
It was filled with toys and traps which the Toymaker used to play against the opponents he brought there, including some toys who would interact with and play against his opponents. Anyone who lost the games became a plaything of the Toymaker forever. (TV: The Celestial Toymaker)
The Toyroom was a sliver of reality that he could occasionally step out of, but he wouldn't survive for long outside of this dimension. This was a result of the rules set down for him in the childhood of the universe. (AUDIO: The Magic Mousetrap)
The Toymaker also resided in a "Toy Shop", which was the one part of his realm actually connected to him, and while the rest of his realm could be destroyed, the Toy Shop would only die when he did. (PROSE: Divided Loyalties)
Outside the Shop was a void; anyone who tried to leave the Shop entered again as if in a loop. The windows could repair themselves. (AUDIO: Solitaire)
If the Toymaker ever lost a game, he would pay the price by losing his Toyroom, which would disappear. He would then have to build another, although he was all right with this as he got bored with the Toyroom after a while. He would, however, destroy the person who caused this. The Toyroom included the Trilogic game and TARDIS hopscotch. (TV: The Celestial Toymaker)
History
According to the First Doctor, the Celestial Toymaker, a native of the same universe as the Doctor, created the Toyroom himself as "a universe entirely in his own vision". He began drawing people in "like flies" to become a part of his world, with him and his games becoming "notorious across the universe". (PROSE: The Celestial Toymaker) According to other accounts, the Toymaker predated the Doctor's universe (AUDIO: Black and White) and he became imprisoned in the Toyroom in "the childhood of the universe". (AUDIO: The Magic Mousetrap)
The Celestial Toymaker once trapped the First Doctor, Steven and Dodo in the Toyroom and forced them to play games to win their freedom. The travellers eventually defeated the Toymaker and left the Toyroom. (TV: The Celestial Toymaker)
When the Toyroom became old and began to break down, the Toymaker feared that its contents would break out into the universe. He trapped the Twelfth Doctor and Clara Oswald inside, wanting to steal the Doctor's TARDIS in order to keep the Toyroom contained. The Doctor allowed him to take the TARDIS, then made his way into the console room and ejected the Toyroom. The Toymaker was then left with a contained Toyroom once more. (COMIC: Relative Dimensions)