A funfair was a location for entertainment.
While being pursued through time by the Daleks, the First Doctor and his companions landed in what they thought was a haunted house. However, it turned out to be a funfair house of horrors in 1996 Ghana. (TV: The Chase)
The Eighth Doctor saw his seven incarnation and Ace at a funfair after they had encountered the Timewyrm. (PROSE: Endgame)
In the early 21st century, the alien Eve was living in a funfair in Danemouth. (TV: The Mad Woman in the Attic)