When an arachnid woman from Glomi IV waved at Jason Kane, he chose not to wave back as he did not want her to suck out his puréed organs through his urethra. (PROSE: The Two Jasons)
After thwarting the 2150 Dalek invasion of Earth, Doctor Who, Louise, and Susan waved goodbye to Tom Campbell when he departed from TARDIS (TV: Daleks' Invasion Earth 2150 A.D., COMIC: Daleks, invasión a la Tierra año 2150) in 1977. (COMIC: Daleks, invasión a la Tierra año 2150)
In the 2000s, in the year following the Christmas Titanic Incident, a newborn Adipose that had been born from the body of Stacy Campbell waved at Donna Noble, who had just entered Stacey's bathroom, before taking its leave through the window, much to her shock. On the next day, during the March of the Adipose in London, an Adipose waved at the Tenth Doctor and Donna whilst being taken to a nursery ship through a tractor beam. The Doctor and Donna returned the wave, with Donna observing "I'm waving at fat." Later, the Doctor and Donna waved at the latter's grandfather, Wilfred Mott, as the TARDIS flew through the sky with its TARDIS door open. Through his telescope, Wilf saw the two and realised, much to his excitement, that his granddaughter had found the "blue box" and the man that she had told him about. (TV: Partners in Crime)
The Fifteenth Doctor and Ruby Sunday may have waved to an individual when they were approached by the individual in Wonder Central or the Deep Space Zone. (GAME: Wonder Chase [+]Loading...["Wonder Chase (video game)"])
On 16 December 2033, when the Fifteenth Doctor arrived outside the Time Bubble containing Nora Wicker's home, he waved to Nora and the hard-light hologram of the Eleventh Doctor inside. (AUDIO: The World Tree [+]Loading...["The World Tree (audio story)"])