As a cultural phenomenon for nearly half a century, Doctor Who has been both the target of parody, as well as the frame of reference for satire of other subjects, there have been many Doctor Who parodies through the years, Tardis.Wikia lists the best ones, and as luck would have it, they are all on YouTube, so here is the article, and here come the videos;
1 The Lenny Henry Show.
2 French & Saunders.
3 The Curse of the Fatal Death.
4 Woolongong Doctor Who Fan Club.
5 The Vicar of Dibley.