Galactic Olympic Games
The Galactic Olympic Games were a version of the original Earth Olympic Games. (TV: Destiny of the Daleks, PROSE: Placebo Effect)
The 3999 Galactic Olympics were held on Micawber's World. They were the first Galactic Olympiad for eight years. The Eighth Doctor took Sam Jones there. (PROSE: Placebo Effect)
In 4500, (PROSE: Resurrection of the Daleks) the Fourth Doctor offered to tell Davros what had happened while he was in suspended animation; he said that Betelgeuse had come in second in the Galactic Olympic Games, with Arcturus (TV: Destiny of the Daleks) or Earth coming in first. (PROSE: Doctor Who and the Destiny of the Daleks)
Behind the scenes
The back cover of PROSE: Placebo Effect refers to the "Intergalactic Olympic Games". However, they are only referred to as the "Galactic Olympic Games" and "Galactic Olympiad" in the actual text of the novel.