Are they really non-canonical? Does Doctor Who canon even exist? These made us raise our eyebrows questioningly, so you can decide if they fit in your headcanon or not.
The Doctor Who adventure Dimensions In Time airs in two parts as part of the BBC’s Red Nose Day telethon, introduced by Noel Edmonds and featuring all five living Doctors and many of the surviving companions. Bizarrely, this story is also a crossover with the BBC’s primetime soap EastEnders, so many of that show’s cast appear as well, and it’s the closest the BBC gets to celebrating Doctor Who’s 30th anniversary. 
The Doctor Who satire The Curse Of Fatal Death airs in two parts as part of the BBC’s Red Nose Day telethon, starring Rowan Atkinson (Blackadder, Mr. Bean), Julia Sawalha (Absolutely Fabulous), Hugh Grant, and, as the first female Doctor in the history of the series (but not the last), Joanna Lumley. Future 21st century Doctor Who showrunner Steven Moffat provides the scripts.
The Doctor Who parody sketch The Web of Caves airs as part of BBC2’s Doctor Who Night, starring Mark Gatiss as the Doctor.
A new animated Doctor Who adventure, Scream Of The Shalka, premieres on BBCi, the BBC’s web site, starring Richard E. Grant as the ninth Doctor, Sophie Okonedo, and Sir Derek Jacobi. Written by popular Doctor Who novelist Paul Cornell, this story is heavily promoted well in advance with the announcement that Richard E. Grant is the official ninth incarnation of the Doctor; BBCi is unaware of the behind-the-scenes negotiations elsewhere in the BBC with Russell T. Davies. (The BBC’s unexpected announcement of Doctor Who’s imminent return as a live action series invalidates Shalka before its premiere.)