Everyone knows a Nan – whether their own grandmother, someone else's, or maybe an elderly woman you see on the bus rudely (but rightly) telling youngsters they shouldn't be sitting when she has to stand. My grandmothers were nothing like the foul-mouthed curmudgeon that Catherine Tate has so vividly created, but the version of her I knew was a childhood neighbour; like Tate's character, dear old Mrs J would be perfectly nice to someone's face but when they left the room she would spit out: “Never liked him/her.”

Some things never change. Once more, we join DCI John Luther – though only for a two-part special – as he glues himself to the trail of a serial killer. And once again Luther is played by Idris Elba, a man who can freeze time or make villains throw down their weapons merely by gazing into the camera with an expression of quizzical world-weariness.

If the title wasn’t already occupied, television-wise, the BBC might have titled Capital “The Street”. It’s got the high soar-aways over urban geography that recall the soaps, but here they spread wider, taking in a metropolis. It’s “capital” as in London, and we may wonder just who’s been padding around the premises before John Lanchester’s 2012 novel, from which Peter Bowker’s three-part drama is adapted.

As you all know by now, Friday is D-Day for Adele's new album 25, and part of the all-media Adelathon is Friday night's show on BBC One, Adele at the BBC. It's a mix of live performances and taped sequences linked together by chunks of interview with Graham Norton, and makes the perfect relaunch package for the reclusive superstar. It opens, aptly enough, with her performing "Rolling in the Deep".

Nearly 20 years ago the West End was in a lather of excitement about a show called Voyeurz. A "musical revue" set in a nightclub on Manhattan, it was all about a young girl venturing into the uncharted caverns of her own sexuality, and it was opportunistically crammed with hot sapphic action. It tanked. Its producer and co-director was Michael White, known to his legion of chums as Chalky.

Crime drama is a bit like the wheel. There’s only so much scope for reinvention. People try to come up with novelties all the time, then you turn on the telly and realise everyone else has had the same idea. Rumpled cops in macs, ex-cops haunted by the past, cops with overbearing bosses descended from Jane Tennison – they’re all out there, all the time. Even the casting department is running on empty. It’s been precisely five days since Unforgotten unveiled a chirpy detective played by Nicola Walker.

Revenge dramas are such a guilty pleasure - there's a vicarious thrill in watching a baddie being taken down in a way that we might wish to, but never would, in real life. And boy, but did Gemma take down cheating husband Simon in the closing episode of Mike Bartlett's Doctor Foster. Senior GP Gemma and hip property developer Simon's perfect life, with their perfect house and their perfect son was, of course, anything but - and finally it all came crashing down.

This is the first of two new TV series this week to feature a female police officer investigating the discovery of long-buried skeletons (the other one is Thursday's Unforgotten on ITV). The two shows are different in tone, but still reminiscent of numerous noir-ish policiers of recent vintage. It makes you wonder whether commissioning editors are trying hard enough. We hear a lot of earnest talk about "diversity", but it doesn't seem to apply to themes and subject matter.

For the final instalment of its season of 20th-century classics, the BBC left the world of fiction behind and took a Rosie-tinted amble along the leafy byways of Laurie Lee’s youth. The first part of Lee’s autobiographical trilogy is much the most read. Sales of six million means Cider with Rosie has a lot of fans who will have watched this dramatisation anxiously fearing the worst.

Axed by the BBC at the end of 2013 after its second series, ostensibly because of poor viewing figures, Ripper Street found a new home on Amazon Prime, where the third series began streaming in November last year. With a fourth and fifth series already commissioned by Amazon, the BBC is making up for lost time by airing Series Three. Perhaps the Top Gear bunch will be back on the Beeb yet.