Lucifer remarks on his inability to shave. (WC: Mission: Find Lilith [+]Trevor Spencer, Hellscape (BBV Productions, TikTok and YouTube, 2023).)
Shaving was practised by multiple people, including the Tenth (TV: Time Crash) and Eleventh Doctors (COMIC: The Lost Dimension) as well as John Who. (PROSE: Nostalgia Corner)
The TARDIS was equipped with several shaving machines. (PROSE: Mire and Clay)
Peri Brown's head was shaved bald in preparation for brain surgery. (TV: Mindwarp)
Bernice Summerfield was shaved bald by members of the Cult of the Dark Flame, in order for her skull to be drilled into to release the essence of Vilus Krull's mind. (AUDIO: The Draconian Rage)
Upon arriving in a street in what he called "Kingdom United", Lucifer got distracted from mimicking a guy who told him to find Lilith by the matter of his inability to shave; as he spoke, he stroked his wirey beard. (WC: Mission: Find Lilith [+]Trevor Spencer, Hellscape (BBV Productions, TikTok and YouTube, 2023).)
