Historic unsolved murders have become their own mini-genre, with the likes of Cold Case lurking in the small print of the schedules and Silent Witness still going strong in its 20th series. A hit the first time out in 2015, Unforgotten is back with a new investigation of another mystery cadaver.

We're back at Friday Street, the crumbling cop shop on the wrong side of Manchester, where DI Viv Deering marshals her squad of anarchic misfits to fight crime. Paul Abbott's rude but not crude police comedy drama was a great hit first time round and managed to be riotously unPC while unravelling a complicated serial murder case. And, as with the late, great Cagney and Lacey, some of the best scenes were in the ladies' loo; two of Deering's closest aides are women (played by Elaine Cassidy and Alexandra Roach).

Sherlock’s back in the here and now, and not before time. Twelve months ago, Benedict Cumberbatch’s Holmes laid down his mobile phone to return to Edwardian London for a plate-spinning deer-stalking mind-warping one-off. The Abominable Bride, though good in parts, caused a mass outbreak of head-scratching. Had Team Gatiss/Moffat fallen a little too in love with metatextual rebooting and gone and got lost in their own hall of mirrors?

The hyperbole began as soon as the voiceover did: “For most of us Judi Dench is M…” So much for Bernard Lee. The implication was that if you can remember him, then Judi Dench: All the World’s Her Stage was not for you. After all, she played James Bond’s boss for 17 years – until, at Daniel Craig’s suggestion, the sky fell in on her in Skyfall.

Yorkshire-born screenwriter Sally Wainwright has carved a distinguished niche for herself as chronicler of that brooding, beautiful region’s social and familial dramas. After the romance of Last Tango in Halifax and the gritty panorama of Happy Valley, she has settled on perhaps the quintessential troubled Yorkshire family, with awesome bleakness on the side: the Brontës.

If there's one big question hanging over the television industry, it's "how long can the old broadcast networks survive in the new era of subscription and downloading services?" No doubt there will be a variety of answers, with different hybrid arrangements and partnerships springing up to deliver programming across multiple formats. From the viewer's point of view, it's a pain to have to keep subscribing to multiple providers such as Netflix or Amazon, not to mention all the extra devices we now have sticking out of the back of the TV. On the other hand, have viewers ever had it so good?

A 90-minute biographical documentary about Bruce Springsteen, you may think, is for Springsteen fans only. But really anyone who is interested in fame, friendship, family relationships and the creative process will have enjoyed this – a revealing mix of personal testimony, The Boss reading from his recently released autobiography of the same title, Springsteen family home movies, and rarely seen footage of his early career.

A year ago to the day the BBC laid on a festive slaughter of Agatha Christie characters. And Then There Were None had the look of a well-dressed abattoir as her victims toppled like ninepins at the hands of an invisible slayer. The scriptwriter Sarah Phelps has returned to the queen of crime for this year’s two-part Christmas murder mystery. The source for The Witness for the Prosecution is a mere 23-page story in which there’s really only house room for one corpse.

The last time BBC TV headed over to West Side Story, it landed itself with a contradiction. Christopher Swann’s 1985 fly-on-the-wall documentary The Making of West Side Story – about Leonard Bernstein recording his celebrated score with a cast of opera singers – bagged the prestigious Prix Italia, but the actual material was a wildly unidiomatic misfire. The reverse was true of BBC2’s Boxing Day special West Side Stories – The Making Of A Classic.

The best thing about a year without Doctor Who? It’s been a year since we last heard people (adults) complain that the show’s increasingly labyrinthine, convoluted plots were too complex for children.

But the best thing about this year’s Christmas special? It was a self-contained, fast-paced hour which perfectly captured the childlike wonder and good fun that has always been at the heart of a show about a time-travelling space alien.

Everything else was present and correct for this festive feastIn what was perhaps a nod to the show’s ever-increasing popularity on BBC America, The Return of Doctor Mysterio swapped the usual dramatic aerial shots of London for a New York setting: a couple of spectacular, CGI-driven flights over Manhattan and a scene on top of the Empire State Building in place of the London Eye or Big Ben. But everything else was present and correct for this festive feast: Peter Capaldi’s eccentric, cranky Doctor mistaken for Santa Claus, comic book superheroes and, of course, a truly scary alien threat hell bent on colonising the human race. It is Christmas, after all.

This time around, that threat takes the form of sentient creatures that look like human brains – the idea being that they’ll pop into the heads of and ride around in the skulls of various world leaders and important people. It’s a 2016-style plot if ever there was one (quoth the Doctor: “Brains with minds of their own – nobody will believe that, this is America!”) even while it breaks no new ground for the show. Thankfully, the technology has progressed from the aliens in flatulent skin-suits of the Christopher Eccleston era: some things are best kept inside after a few too many Brussels sprouts, after all.

What sets this particular tale apart is the cast of supporting characters. There’s Justin Chatwin as Grant: superhero The Ghost by night, thanks to a chance encounter with the Doctor and ingestion of a mysterious crystal as a youngster; mild-mannered live-in nanny … also by night. It gets complicated, in a subplot that couldn’t pay more lip service to the travails of working single mothers if it didn’t also feature a working single mother. Lucy Fletcher/Lombard (Wolf Hall’s Charity Wakefield) is a whip-smart investigative journalist, Grant’s employer and The Ghost’s love interest. No prizes for guessing how that one ends.

While the superhero plot is a new one for Doctor Who, it’s pretty obvious from where it takes its cues: Grant’s “disguise” is a pair of thick-rimmed glasses, while Wakefield’s journalist character is the spiritual heir of Lois Lane. But it’s no less charming for that, not least because show runner Steven Moffat’s fast-paced script takes a playful joy in the tropes of the source material.

A huge part of that joy is a tribute to Capaldi’s performance as the Doctor: his take on the role has come to feel increasingly definitive over the past three years, and the irascibility that belies a big heart makes particular sense in the universe of the show. His unfamiliarity with the concept of superheroes was particularly delightful, from his belief that he had cracked some sort of secret code after sketching a pair of spectacles onto one of young Grant’s superhero comics, to this glorious exchange with the boy (Logan Hoffman, above right, with Capaldi) on the origins of Spider-Man:

“Why do they call him Spider-Man? Don’t they like him?”

“He was bitten by a radioactive spider and guess what happened?”

“Radiation poisoning, I should think.”

“He got special powers!”

“What, vomiting, hair loss and death? Fat lot of use those are.”

Matt Lucas as Nardole, the Doctor’s straight-talking alien companion last seen in Christmas 2015’s The Husbands of River Song deserves a brief mention: the character has far less to do than the youthful female companions who are usually the Doctor’s stock in trade but, in the hands of Lucas, what could easily have become a one-note Jar Jar Binks-style oddity brings the sort of eccentric Britishness Doctor Who fans are familiar with to its fairly atypical American setting. Lucas will return in the spring, on some of Capaldi’s outings with new companion Bill Potts (Pearl Mackie) – worth watching to see if Moffat manages to squeeze a whole scale out of him.

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Overleaf: watch Pearl Mackie as the Doctor's new companion in the series 10 trailer