Peter Davison (in-universe)

Peter Davison was an actor that the Doctor once saved from a Krynoid. He thought that something seemed familiar about him.

The Eleventh Doctor once fell into a parallel universe where he found that his life existed as a TV show called Doctor Who. He was surprised to learn there that Peter Davison existed in that universe as well, and played his fifth incarnation on TV. (COMIC: The Girl Who Loved Doctor Who)

Information from invalid sources
In the 1999 television story The Kidnappers, Peter Davison played a version of himself who was kidnapped by two obsessed fanboys (David Walliams and Mark Gatiss), who act inappropiately towards Davison.

In NOTVALID: The Five(ish) Doctors Reboot, Peter Davison portrays himself again.