It's a quintessential Channel 4 idea. Take one hot-button issue (racial integration, or lack of it), go to Bradford ("one of Britain's most segregated cities," according to the voiceover), and shove a racially mixed bunch of locals into a thinly-disguised Big Brother house to see how they'll get along. To stir the pot a bit more, the eight chosen "contestants" all failed the government's UK Citizenship test.

The scene is ineffably English. The thock of mallet on ball, the clack of ball through hoop, the gentle sun adding a benediction. A senior gent in natty English threads looks on from the pavilion, a member of this club for 55 years. Everything is just so, apart the setting: Cairo. “Was there nothing good the British did here?” wondered Jeremy Paxman. Apart from croquet. “All kinds of imperialism is bad,” ventured his host with a wily smile.

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.

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.

Don't be misled by the mini-history lesson with which Trevor Nunn's belated London stage premiere of The Lion in Winter begins, a sequence of dates, facts and maps that scroll up a decoratively appointed screen and threaten to turn the sumptuous Haymarket Theatre (Nunn's home now across four productions) into an upscale schoolroom.

For dull reasons to do with a dodgy digital box and a very old analogue telly, I can’t tune in to BBC Four during live transmissions, so I either catch up on iPlayer, or (lucky me as a journalist) get to see programmes early. But I’m very glad I can get it at all, for when the BBC cuts come to pass and its premier arts channel starts broadcasting archive-only material, as it proposes to do, then I think I might just stop watching telly altogether.

This is a strangely kaleidoscopic approach to documentary. A selection of recently unearthed footage and interviews which shows the Black Power movement in the USA through the eyes of idealistic Swedish film-makers, now re-edited and framed with the voices and music of both modern and veteran black radical cultural figures, it provides a disorienting, shifting set of superimposed viewpoints of a period in which in any case change seemed to be the only certainty.

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?

Declaring that “everything in the world exists to end up on a postcard” is pretty courageous. But after watching the charming, gently funny Picture Postcard World of Nigel Walmsley you begin thinking that maybe, just maybe, everything was created to be depicted on a piece of card destined to be sent through the post. Holiday camps, motorways, hills, walls - all were created to become images printed on the postcards collected by deltiologists like Ronnie Barker and Michael Winner.

This is not exactly Edward II the musical. There’s no singing, but music plays a leading role. It is the food of love of the sort that dared not speak its name – and there is excess of it for my taste. The idiom is jazz of the edgy sort fashionable in Paris in the 1950s, reflecting pretty boy Piers Gaveston’s exile there, where he has been banished by Edward I for getting too close to his wayward son.