Among the many versions of America on parade in the ever-expanding universe of Taylor Sheridan, the one portrayed in Mayor of Kingstown is surely the bleakest. As AI helpfully informs us: “The show offers little respite, depicting extreme violence, moral ambiguity, and systemic failure without much sugarcoating.”

Having given us Peter Jackson’s monster documentary series The Beatles: Get Back four years ago, Disney have returned to the Moptop well to deliver this spruced-up reissue of the Beatles Anthology. This epic history of the Fab Four originally aired in six-episode form in the US and the UK in 1995, but that was expanded to eight instalments for VHS and LaserDisc releases in 1996.

She’s still best remembered for her portrayal of Carrie Mathison in Homeland, but Claire Danes is an actor with plenty of moves up her sleeve. In this eight-part drama penned by Gabe Rotter, she plays author Aggie Wiggs, renowned for her book Sick Puppy but now crippled by writer’s block.

This five-parter by Rebecca Miller is essential viewing for any Martin Scorsese fan – and for anybody who wants to understand the process of movie-making, full stop. Miller has interviewed all the key figures from the director’s life, not just film luminaries but his family, his childhood friends, an ex-wife, the priest who inspired him.

Back in 2003, when Mick Herron was a humble sub-editor, his debut novel was published, the first of what became a four-volume series, the Zoë Boehm thrillers. Inevitably, after the success of his later Slow Horses series, television has snaffled this character up too. Morwenna Banks works on both series as a writer-producer. And it shows.

The problem with making TV dramas about unsolved real-life murder mysteries is that they’re still unsolved, unless the film-makers decide to invent a fictional denouement. This might well trigger an avalanche of legal and ethical objections.

The return of this entertaining political drama is always welcome, though its soap-tinged mix of transatlantic politics and volatile personal relationships is beginning to look a little too genteel for our current age of ever-worsening crises.

Another day, another shooting: this is Florida, USA, where the "Stand Your Ground" self-defence law allows people to use lethal force when they perceive a threat to their lives. The idea may be shocking to Britons, but such laws have become prevalent in America, even though they may be providing cover for straight-up murder.

Rockin’ vicar the Rev Richard Coles is not only a C of E priest and former member of Bronski Beat and The Communards, but also a purveyor of crime fiction in the shape of his Canon Clement mysteries. The first of these was Murder Before Evensong, and now it has arrived on Acorn TV, where they do a lot of this sort of thing.

They say no good deed goes unpunished, so when New York restaurateur Jake Friedken (Jude Law) allowed his wayward and star-crossed brother Vince (Jason Bateman) back into his life, he might have expected to experience a little turbulence. Instead, he finds himself engulfed in a hair-raising struggle to save his career and even his life.