There’s an affecting moment in the café scene in Torn Curtain (1966) when the physicist Michael Armstrong (Paul Newman) and his fiancée-assistant Sarah Sherman (Julie Andrews), desperate to flee East Berlin, are awed into compassion for the jittery Polish Countess Kuchinska, who offers to help them if they will sponsor her bid to emigrate to the U.S. It looks a little as if Newman and Andrews themselves were awed by Lila Kedrova’s fabulously flowing performance.

“Who is Mr Putin?” That was the question being bandied about by journalists and Kremlin watchers in the months after Boris Yeltsin’s out-of-the-blue New Year’s Eve 1999 resignation. Vladimir Putin, ex-KGB operative in East Germany, was prominent in the St Petersburg city administration through the early 1990s; called to Moscow in 1996, he held various Kremlin jobs, before being appointed head of the FSB (the KGB’s successor) in July 1998, and in August 1999 Russia’s prime minister.

Gary Oldman's shrewd and skilful portrayal of mole-hunter George Smiley has prompted excitable Oscar gossip, but the biggest success of Tinker Tailor... is its creation of a melancholy sealed world where the common currency is secrets, lies and disillusion. Swedish director Tomas Alfredson has brought a supernaturally observant eye to jaded 1970s London, where a disgraced Smiley is brought back to the Circus (John le Carré's pet name for MI6) to conduct a clandestine probe for the traitor leaking secrets to Moscow.

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.

Chess grand masters have a reputation for possessing the kind of brilliance that’s inclined to tip into madness. Victor Korchnoi claimed he'd played against a dead man, while Wilhelm Steinitz insisted he'd played chess against God by wireless. As for Bobby Fischer, his momentous duel against Boris Spassky for the World Chess Championship in Iceland in 1972 earned him the accolade of being perhaps the most brilliant chess player of all time, but by the time of his death in 2008 he had become an embittered, ranting maniac.

A subtly haunting and brilliantly composed photograph by André Kertész lives on as a wistfully memorable image of exile: in Lost Cloud, 1937, a small, isolated cloud drifts we know not where next to a New York skyscraper. Kertész is one of the quintet of Hungarian Jewish photographers who are acknowledged as among the greatest of the last century. Kertész, Laszlo Moholy-Nagy, Robert Capa, Martin Munkácsi and Brassaï are the most familiar among the staggeringly accomplished Hungarian photographers who feature in the Royal Academy’s exhibition Eyewitness.

It owns almost twice as many artworks as the Arts Council, and two-thirds of its 13,500-strong hoard is on display at any given time, yet it’s a collection the public never usually gets to see. Since its foundation in 1898, the Government Art Collection has been purchasing work by British artists not for the nation, but to hang exclusively in the corridors of power, from Downing Street to the British consulate’s office in Azerbaijan. Perhaps, in these cost-cutting times, it now feels impelled to justify its existence to the taxpayer by giving it a taster of its work – though, in all probability, the British taxpayer was probably unaware of its existence till now.

Midway through Farewell, a civilian who is aiding a KGB spy is told by his nervous wife, “I married an engineer. Not James Bond.” In other films, this might be a cheap line, a postmodern quip; here it is spoken in earnest, and reflects the many nuances of a wonderfully retro spy drama. Farewell is a throwback to the purest of Cold War yarns, notably from the Sixties, in which psychology was more important than action, and characters struggled painfully with loyalty and betrayal in grimy rooms and wintry locales.

Looks like being a chilly autumn in Spooks world. In time-honoured fashion, the new series waved goodbye to another former stalwart with the funeral of Ros Myers (Hermione Norris), blown to bits in the last series and thus freed up to splash about in the moral squalor of ITV1's new Bouquet of Barbed Wire. Amusingly, that put her just a click of the remote control away in the same Monday, 9pm time slot. Can't say I'll miss Ros's stone face and rather lacklustre Terminator impersonations, but new addition Beth Bailey (Sophia Myles) looks poised to bring a refreshingly brash self-confidence to the party.