Top hat
A top hat was a type of hat.
The Eleventh Doctor owned a top hat, which he wore at Amy and Rory's wedding, (TV: The Big Bang) after having been poisoned by River Song in Nazi Germany (TV: Let's Kill Hitler) and again to conceal a device that allowed him to lure the Squall back into their dimension of origin. (PROSE: Paradox Lost) During his retirement to the Victorian era, he wore a battered felt top hat. (TV: The Great Detective, The Snowmen)
Frobisher once wore a black top hat. (COMIC: Time Bomb)
The Twelfth Doctor wore a navy blue top hat which he soon replaced with a black one when going to the 1814 frost fair. (TV: Thin Ice)
Ryan Sinclair and Graham O'Brien wore top hats during their trip to Villa Diodati. (TV: The Haunting of Villa Diodati)
The Master in his spy incarnation wore a top hat when he faced the Thirteenth Doctor on 1834. (TV: Spyfall)
Occasionally, the Eighth Doctor wore a top hat. (COMIC: The Curious Tale of Spring-Heeled Jack; AUDIO: Other Lives)
Henry Jago wore a top hat. (TV: The Talons of Weng-Chiang, onwards)