Beard
A beard was a form of hair growth on one's face. They were often shortened to just thick upper lip hair known as a moustache.
The Master often wore one (TV: Terror of the Autons et al.) known as a goatee. (COMIC: The Judas Goatee) It led to the Fifth Doctor asking the Tenth if he "still had that rubbish beard". The Tenth Doctor replied that he had a wife instead. (TV: Time Crash) When the Twelfth Doctor reencountered the Master in his "Harold Saxon" incarnation, he had grown a beard. (TV: World Enough and Time)
Charles Dickens had one when he met the Ninth Doctor and Rose. (TV: The Unquiet Dead)
The Doctor in his incarnation known as the War Doctor grew a beard, (TV: The Name of the Doctor, The Day of the Doctor) something that'd happen again in his later years as Muldwych. (PROSE: Birthright, Happy Endings) The Eleventh Doctor would grow a beard when held in captivity for significant periods of time. (TV: Day of the Moon, The Wedding of River Song) An alternate Twelfth Doctor wore one, too. (COMIC: Four Doctors)
In a Kantrofarri-induced shared dream, Santa Claus had on a beard when he met the Twelfth Doctor. According to Wolf, he initially grew the beard as a disguise, but "people have picked up on it". (TV: Last Christmas) Indeed, even the Roboforms, who took the form of robot Santas, had beards. (TV: The Christmas Invasion, The Runaway Bride)
Owen Harper likened his partial resurrection to Jesus Christ "but without the beard". He immediately realised "shit, I'm never gonna have a beard" but denied wanting one. (TV: A Day in the Death)
Varun Singh had one grown due to the practice of Kesh in Sikhism. (TV: For Tonight We Might Die, The Coach with the Dragon Tattoo, Brave-ish Heart)