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.

America in Pictures: The Story of Life Magazine, BBC Four

AMERICA IN PICTURES: Photographer Rankin explores how Life magazine captured America's golden age 

How the camera captured America's golden age

Before the internet and the Kindle were invented, generations of Americans saw their lives refracted through the pages of Life magazine. In particular, through its photography, since writers at Life were largely relegated to supplying glorified picture captions. They were also allowed to carry the photographers' equipment.

Money: Who Wants To Be a Millionaire? BBC Two

MONEY: WHO WANTS TO BE A MILLIONAIRE?: A fur coat, food from Tesco, oil wells and credit-card debt with America's money-making gurus and their British disciples

A fur coat, food from Tesco, oil wells and credit-card debt with America's money-making gurus and their British disciples

It’s not long until we’re told, “There is enough money in the world to make everyone in the world a millionaire.” And if everyone was? Utopia and freedom might not be inevitable. Inexorable price rises would restore some sort of balance. Or a crash might follow. But as this extraordinary look into what’s been inspired by the American money motivators who’ve washed up on our shores showed: logic, be damned.

Digging the Great Escape, Channel 4

Archaeo-doc excavates the real story of famous POW breakout

The archaeological documentary is becoming the obligatory format for tackling legendary tales of the British at war. Someone seems to recreate the Dam Busters raid every six months, the wrecks of battleships HMS Hood and the Bismarck have been tracked down in the ocean depths, and Time Team have excavated various subterranean artefacts from the Western Front.

Living With the Amish, Channel 4

LIVING WITH THE AMISH: Our kids sampling the quiet life makes for quiet television. And what's wrong with that?

Our kids sampling the quiet life makes for quiet television. And what's wrong with that?

The life-swap doc comes in sundry guises. Emissaries of simpler cultures visit our broiling cities to gawp at streets swimming in fresh spew and rivers of piss every Saturday night. Alternatively our lot pop off to places where people shit in holes and praise the Lord. Whichever way the story gets sliced, it’s always about the same thing: holding up a mirror to ourselves and not tending to like the view. Here’s what we look like when we stand next to this or that person with whom we wouldn’t change places for anything.

Searching For Summertime, BBC Four

SEARCHING FOR SUMMERTIME: A BBC Four doc asks, why did Gershwin’s humble lullaby become the most covered song of all time?

Why did Gershwin’s humble lullaby become the most covered song of all time?

It’s a song which hangs in the air like pollen or reefer smoke, before gradually rising like a never-to-be-answered prayer. It began life as a lullaby but grew up to be a protest song, a scream of existential angst and even a purred invitation to sex. It’s a song like no other song, in that it has been covered more than any other song (its nearest competitors being “My Way” and “Yesterday”), and it was written by three Jewish immigrants before eventually being adopted by African-Americans as their own.

We Were Here

WE WERE HERE: As a new documentary is released, a writer who was also there remembers San Francisco at the advent of AIDS

As a new documentary is released, a writer who was also there remembers San Francisco at the advent of AIDS

The advent of AIDS tore through San Francisco’s Castro district, the heart of the city’s gay community, with the same ferocity as Hurricane Katrina hitting New Orleans’s Ninth Ward. Obviously there were differences - buildings and infrastructure remained intact and this was a slow-motion disaster that unfolded over years as opposed to days - but a devastated community reeling from loss was similarly left abandoned by indifferent authorities and so forced to fall back on its own resources to cope and rebuild.

An African Election

On the campaign trail in Ghana's emblematic 2008 trip to the polls

How much do you remember about the Ghanaian presidential run-off of 2008? Me neither. And there's a reason for that. The Swiss documentary-maker Jarreth Merz spent three hectic months on the campaign trail, the better that we might understand – and he's put it all down in An African Election.

Britain's Greatest Codebreaker, Channel 4

Documentary and drama can't crack Turing

I had misgivings before watching Britain's Greatest Codebreaker last night on Channel 4: the advertised mix of drama and documentary tends to send a signal that neither half is sufficiently well done. And within a minute, it was clear that this was such a chimera: over-dramatic voiceovers for the documentary part, Ed Stoppard acting to the back row in the drama part.

Janet Jackson – Taking Control, BBC Four

A lightweight but diverting look at the career and life of Michael’s little sister

How do you forge a pop career in the shadow of the biggest pop star on the planet? What is perhaps forgotten about Janet Jackson is that not only did she pull this off, but for a while she actually overshadowed her older brother. But this documentary doesn’t really dig deep enough, in that it never even begins to answer the question: how did she remain so - relatively speaking - level-headed and grounded while growing up in this most famous and, some would suggest, dysfunctional of families?