Barbie

A Barbie car was driven by an alien-possessed Snowy Boots toy at Alan Wood's department store in 2006. (PROSE: Snowman in Manhatten)

Behind the scenes
While it's never explicitly stated, the context of the narrative would indicate the Barbie being referred to is the famous American fashion doll.

In 2018, Mattel released a limited edition Barbie doll in the likeness of the Thirteenth Doctor, in commemoration of Jodie Whittaker's them recent debut in the role.