You’ll need some damn fine coffee to stay up for it, but this revival is the TV event of the decade to date. Whether it can live up to the hype is another matter, but you’ll absolutely have to have an opinion.
21 May, 2am, Sky Atlantic, then 23 May, 9pm

The Trump presidency might come to be regarded fondly by a generation of comics who have found roasting the Donald to be a clear route into liberal American hearts. Hasan Minhaj’s turn at the White House Correspondents’ Dinner suggested he’d be the latest beneficiary and this smart, thoughtful set confirms it.
From 23 May, Netflix

No one looks to Jimmy McGovern for frivolity and, once again, he has delivered a drama full of bleak intensity. Broken stars Anna Friel as beleaguered single mum Christina and Sean Bean as Father Kerrigan, the well-intentioned but haunted local priest who tries to help her.
23 May, 9pm, BBC1

This new three-parter from Conor McPherson is an utterly berserk affair. Denise Gough’s Paula has a one-night stand with skint handyman and rodent exterminator James (Tom Hughes). And before you know it, all hell has broken loose. Still, hopefully he at least got rid of her rats …
25 May, 9pm, BBC2

It is refreshing to see a Netflix series quit while it’s just about ahead. This third season of the darkly compelling US family drama will also be its last.
From 26 May, Netflix

Gently’s young colleague DI Bacchus always seemed like a potential wrong ’un. And, sure enough, this final two-part series begins with Martin Shaw’s grizzled detective nearing retirement but reopening an old case and finding evidence of malpractice pointing to his partner. For fictional cops, one last case is hardly ever a good idea …
21 May, 8.30pm, BBC1

In working-class 1920s America, weird, woebegone and wonderful music was developing in the coal mines and cotton fields. But what would happen when the outside world got to hear it? This evocative and exhaustive story of US roots music includes contributions from Jack White, Taj Mahal and Nas.
21 May, 10pm, BBC4

Real judges, practising barristers and a jury drawn from the public. Only the accused and the victim in this new series are actors. The resulting drama – which is stripped across the week – is genuinely informative and utterly gripping.
21 May, 9pm, Channel 4

What did The Inbetweeners do when they grew up? It seems James Buckley and Joe Thomas ended up flogging double-glazing with devilishly charismatic Vincent Swan (Ed Westwick). This new sitcom from Inbetweeners co-creator Damon Beesley pushes similarly broad, puerile comic buttons.
24 May, 10pm, BBC2

Prince Philip: 70 Years of Service

The recently retired royal gets the tribute he deserves: Alan Titchmarsh helms a celebration of his seven decades of gaffes and grimaces.
22 May, 9pm, ITV