Marty McFly

Marty McFly was a character in the Back to the Future series of films that the Tenth Doctor once used to illustrate the theory of infinite temporal flux to Martha. In the film, McFly "began to fade" out of existence as changes were made to his personal family history. This, the Doctor suggested, was indicative of the general malleability of time — and of what would happen to Earth's future if he and Martha could not stop the Carrionites in 1599. (TV: The Shakespeare Code)

On the website whoisdoctorwho.co.uk, a user, going by the name Marty McFly, claimed to have seen the Doctor, saying "I know that man, he stole my DeLorean!!!". (PROSE: Have You Seen This Man?)

Paul was a fan of Back to the Future and wore headphones, a T-shirt, checked shirt, denim jacket, body warmer, jeans, and trainers just like Marty McFly. (PROSE: The Sooner the Better)

Joel Mintz encountered a time rift which transported him from 1993 to 1983. He said he felt like Marty McFly when it came to TV reruns: "I've seen everything before." (PROSE: Return of the Living Dad)

Two cosplayers at San Diego Comic-Con dressed as Doc Brown and Marty McFly. (COMIC: Selfie)

The Eleventh Doctor made reference to Marty McFly and the Back to the Future series after giving an eponymous reference to the series to Alice Watson, which she didn't get due to her lack of interest in fiction. (AUDIO: The Time Machine)

The Twelfth Doctor used Back to the Future to try and explain a time travel situation that he and three versions of Bill Potts were in, mentioning Marty as knowing his dad as a loser despite his personal timeline changing to a state where that version of his father no longer existed. (AUDIO: Emancipation of the Daleks)

Information from invalid sources
Marty McFly once played his red guitar, causing the Wicked Witch of the West to fall off of her broomstick. He later played it next to the DeLorean time machine. (NOTVALID: Endless Awesome)

He later watched as the Twelfth Doctor, Doc Brown, and Peter Venkman crashed their respective vehicles in the Brick Boulevard. (NOTVALID: Doctor, Doctor, Doctor)

Other matters
Marty, along with his Back to the Future costar Doc Brown, appears as a playable character in LEGO Dimensions.