Imagine: The Lost Music of Rajasthan, BBC One

Saving the music of Rajasthan with Alan Yentob, cross-dressers and song-seekers

That Alan Yentob gets around. I’ve run into him backstage during Jay Z's set at Glastonbury and in a jazz club in Poland, and here we found him in Rajasthan fronting a fascinating and well-shot programme, albeit workmanlike rather than really inspired, mostly set in one of the richest traditional music areas of India.

Who Do You Think You Are? USA: Steve Buscemi, BBC One

The low-key Brooklynite discovers a suicide note, civil war and an assault accusation in his past. All involving a dentist

Steve Buscemi says he’s “from the country of Brooklyn”. In the wake of  Boardwalk Empire he could have said the empire of Brooklyn. Although the family history disinterred was genuinely strange, this first entry in the new series of Who Do You Think You Are? USA was no emotional roller coaster, mostly because of Buscemi’s low-key affability.

Garrow's Law, Series 3, BBC One

GARROW'S LAW: Tony Marchant's Georgian courtroom drama keeps a foot in the here and now

Tony Marchant's Georgian courtroom drama keeps a foot in the here and now

Garrow’s Law, which returned last night for a third series, would seem to be entirely about the foreign country that is Georgian England. One of its progenitors is Tony Marchant who, give or take the odd adaptation of Dickens or Dostoevsky, has spent his packed writing life in the modern day. But they don’t seem to make his kind of searing contemporary drama any more, the type that hunts for the root cause of moral failure in individuals and society. So in order to hold a mirror up to his audience, he has turned to the 1700s. Profitably.

Imagine: Simon and Garfunkel - The Harmony Game, BBC One

IMAGINE - SIMON AND GARFUNKEL: Examination of Bridge Over Troubled Water doesn't go far enough

Examination of Bridge Over Troubled Water doesn't go far enough

“It’s very deep, very private and full of love,” said Art Garfunkel of his relationship with Paul Simon. So private that for this examination of their swansong 1970 album Bridge Over Troubled Water the pair were interviewed apart, despite both being credited as executive producers. Whatever the nature of the love, 40-plus years on, bridges weren’t being built.

TV Gallery: Frozen Planet

FROZEN PLANET GALLERY: Celebrating the work of the photographers featured in the BBC's remarkable new natural history series

Celebrating the work of the photographers featured in the BBC's remarkable new natural history series

What we're used to seeing whenever the BBC launches on one of its epic explorations of the natural world is moving pictures. But as well as training film cameras at their subects, from the largest mountains and glaciers to the smallest organisms, the hardy modern-day adventurers armed with their phenomenal hi-tech kit also train still cameras at everything they encounter.

Hidden, Series Finale, BBC One/ The Slap, BBC Four

One goes out on a high, the other arrives with a pile of chips on its shoulder

Many commentators have professed bafflement at the tangled layers of Hidden, as it probed into a sick and murky past while apparently dead characters came back to haunt the present. Right to the end, writer Ronan Bennett kept his cards carefully concealed, so we still don't know who was really behind the sinister "Helpdesk" and its slick dial-a-killer operating system. Or at least it was slick at killing everybody except protagonists Harry (Phil Glenister) and Gina (Thekla Reuten), who somehow managed to wriggle away from their pursuers on a record-breaking number of occasions.

Frozen Planet, BBC One

FROZEN PLANET: Breathtaking camerawork and David Attenborough are two reasons to take this unmissable trip to the ends of the Earth

Breathtaking camerawork and David Attenborough are two reasons to take this unmissable trip to the ends of the Earth

It’s been suggested that, come the revolution, the best possible of outcomes to the question of who shall be Head of State is the man off the goggle box who for innumerable aeons has been telling us about the birds and the bees, the silverbacks and the dung beetles, the fishes and the flytraps. But could we not, on reflection, do a bit better than that? If God does exist he is surely the spit of David Attenborough.

Death in Paradise, BBC One

DEATH IN PARADISE: Ben Miller's buttoned-up detective feels tropical culture shock in new BBC crime series

Ben Miller's buttoned-up detective feels tropical culture shock

You'd think a lengthy shoot on the Caribbean island of Guadeloupe would be any actor's dream, but apparently Ben Miller found making Death in Paradise too hot and uncomfortable. That means he's perfectly cast as DI Richard Poole, a detective from the Metropolitan Police sent (as the drama would have it) to Saint-Marie, a fictional small island near Guadeloupe, to investigate the murder of a fellow British cop, Charlie Hulme.

Spooks, Series 10 Finale, BBC One

SPOOKS FINALE: Thrilling climax for long-running spy saga, but a triumph for the quietest performance of all

Thrilling climax for long-running spy saga, but a triumph for the quietest performance of all

And now we faced the final curtain. Spooks responded with an inspired burst of hyperactivity and plots-within-plots, and even a micro-cameo from Matthew Macfadyen as Tom Quinn, the original head of Section D. Up to now this hadn't been the finest of seasons, partly because the death of Richard Armitage's Lucas North at the end of Series 9 left a void which was never successfully filled.

Who Do You Think You Are? - Tracey Emin, BBC One

WHO DO YOU THINK YOU ARE?: A touching romp through Tracey Emin's family tree 

A touching romp through the artist's family tree

Tracey Emin once made a tent for which she gained some notoriety. On it, she’d appliquéd the names of everyone she had ever slept with – including, as a child, her beloved Granny Hodgkins. Sadly, the tent, called Everyone I Have Ever Slept With 1963-1995, was destroyed in a fire at Momart, the art-storage warehouse, in 2004. The loss of her tent was keenly felt, and she refused to recreate it. But genealogists in Who Do You Think You Are?