Trainer

The Tenth Doctor called his own shoes trainers, (TV: Time Crash) although the Eleventh Doctor and the War Doctor considered them to be 'sandshoes'. (TV: The Day of the Doctor)

The Fourteenth Doctor wore papyrus orange trainers, (TV: The Power of the Doctor) which were passed to the Fifteenth Doctor through bi-generation. (TV: The Giggle)

Rose Tyler wore trainers. (TV: Rose-Doomsday)

Clara Oswald's footwear was mostly of wedge trainers. Most notably, she wore Ash wedge trainers. (TV: The Bells of Saint John, Flatline, Face the Raven, Hell Bent.)

Sam Jones was wearing trainers when she and the Eighth Doctor arrived in a swamp on Paratractis in an alternate 2108. (PROSE: Genocide) When she was in 1969, she briefly worried about her very 1990s-era trainers. (PROSE: Revolution Man)

In 2004, H.J. Hardeman saw the Ninth Doctor in an Oxfam in Sheffield, where he tried to exchange his "Edwardian gear" for jeans and trainers. (PROSE: Have You Seen This Man?)

Ryan Sinclair claimed that he and his colleagues used to put funny notes inside trainers at his workplace. (TV: Kerblam!)