Today’s special preview of the impending 50th anniversary episode of Doctor Who finally filled in some of what happened in the gap between Paul McGann’s 1996 made-for-TV movie and the show’s 2005 televisual regeneration (Big Finish audios notwithstanding, obviously). So it was appropriate that today’s other Who-related event, a one-off tie-in documentary fronted by Professor Brian Cox, began by doing its best to bridge the gap between its presenter’s time in 90s dance-pop band D:Ream and his own unlikely regeneration as one of TV science’s most famous personalities.

There are plenty of aspects of Doctor Who worth examining through a scientific lensPersonally, I’d happily watch an hour of back-and-forth between Cox and current Doctor Matt Smith - their short scenes, interspersing the rest of the show’s lecture format, were a joy to watch - but the show had unfortunately promised Proper Science, with the usual celebrity guests, rather than a jaunt in the TARDIS. Thankfully Cox is an engaging lecturer, which seems as good an explanation as any for why the majority of those celebrity guests remained stuck to their seats throughout.

Cox began, as all good lecturers do, by setting out his thesis - by the end of his allotted hour, he wanted to demonstrate whether it was or was not possible to travel in time just like the Doctor. With all of space and time to choose from, his goal was modest - Dr Michael Faraday’s Christmas Lecture on the chemical history of the candle from 1860, given in the same building from which he was addressing his audience. Faraday’s theories popped up again throughout, as did those of Albert Einstein and Italian physicist Enrico Fermi, whose ‘Fermi Paradox’ is the apparent contradiction between the likelihood of the existence of extraterrestrial life and the fact that we on Earth have not yet seen any evidence of said life.

There are plenty of aspects of Doctor Who worth examining through a scientific lens - I for one would love to see a few of those times the Doctor saved the day armed with nothing more than his trusty sonic screwdriver debunked - so it was a bit of a shame that Cox’s lecture focused solely on the big questions: those of time travel and alien life. Though Cox and his volunteers (former Bang Goes the Theory man Dallas Campbell, Charles Dance, Professor Jim Al-Khalili and comedian Rufus Hound) were able to recreate some of the science through simple on-stage experiments, there was no chance that we were going to meet a genuine Martian by the lecture’s end or that Cox would be able to have a cup of tea with his beloved Faraday and be home in time for supper.

By 10pm we had learned that it was theoretically possible to travel into the future, if you didn’t mind a 10-year detour around outer space, that a former pop star with a considerable IQ needs to have LSD jokes explained to him and that, if you were going to throw Rufus Hound out of the universe through a black hole - or at least a convincing picture of one - you’d never actually see him disappear. Whether the rather complex science had stuck was another matter - but it was certainly an interesting, and fun, place to start.

• Doctor Who: The Return of Doctor Mysterio reviewed on theartsdesk

Overleaf: watch the latest trailer for Dr Who 50th Anniversary celebrations on Saturday 23rd November

Inevitably, an aura of fin-de-siècle gloom hung heavily over this final Poirot. So daunting was the prospect of terminating his 25-year career-defining stint as Belgium's finest (albeit imaginary) export that David Suchet insisted on shooting the last one before the others in the concluding series.

The images really do say it all in Strange Days – Cold War Britain. It’s a style of documentary making which puts archive material in first place, ahead even of presenter Dominic Sandbrook, who’s the sole screen presence here (no interviews, no talking heads). We can only wonder exactly how this challenging mêlée of material came together, but can be sure that archive producer Stuart Robertson had every bit as much input as director Rebecca Templar.

Sometimes TV doesn’t need to be “challenging” or “groundbreaking” to be thoroughly worthwhile. The first episode of Sky Arts' new “…talks music” series saw the familar format of a live, seated interview applied to one of pop music’s highest achievers: Lindsey Buckingham of Fleetwood Mac. TV producer Malcolm Gerrie led proceedings in an attractive theatre in front of an audience of students. Most memorable were some blistering live demonstrations of Buckingham’s craft.

So, another series down and what do we know? First up, until this final episode no one had died either by contractual agreement or Fellowesian godlike decree. We’ve had a rape, an unwanted pregnancy, a near abortion, a mysterious disappearance and a spot of senile dementia. Plus not one but two uppity colonial singers have drifted upstairs. If it weren’t for the vowels and the coat-tails, this could be Emmerdale, tackling urgent social issues in a Yorkshire accent and congratulating itself on the column inches the morning after. Why else all the animal husbandry?

The Dracula story has seen almost infinite permutations, though none of them ever manages to improve on Bram Stoker's still-haunting original. This new Anglo-American production keeps Stoker's late 19th-century setting, but has transformed the befanged Count into a kind of supernatural corporate raider stalking the sneering, avaricious fatcats of the City of London.  

Energy is this season’s dirty word. The big six fix prices from their ivory towers beyond the national borders, and wouldn’t dream of turning up in person to take a fearful wigging from a Commons Select Committee. In the old days, it was all a bit different. Energy came overwhelming from coal, mined domestically by a huge workforce. So central to British life was coal that, when the industry was nationalised in 1947, the National Coal Board took what now seems a remarkable decision to set up a film unit and show the results in up to 800 cinemas.

These celebrations of our yesterdays can easily end up all camembert and wind. But while film people and television people will generally cock such things up, we do still have the odd cultural institution which can be relied upon to throw the right sort of party. For the National Theatre's golden jubilee, therefore, the stops were jolly well pulled out and the invitations damn well accepted from the actors who, striplings at the Old Vic in the Sixties, are now our own Oliviers and Ashcrofts and Scofields. And it was almost all impeccable.

Of course the greatest frissons were reserved for those moments when the veterans came back and did their piece once more with feeling – Judi Dench firing up as Cleopatra, Helen Mirren washing her thighs and despatching her husband in Mourning Becomes Electra, Maggie Smith spirited back into The Beaux’ Stratagem. Above all, Joan Plowright, long widowed and no longer sighted, returned to the stage of the Old Vic to repeat with heavy poignancy the words of St Joan she first spoke 50 years ago: “To shut me from the light of the sky… to make me breathe foul damp darkness”.

You’d get an intriguing idea of the history of musical theatre from the shows on show

And yet even if the actors were available, this wasn’t simply an exercise in carbon-copying the past. Penelope Wilton and Michael Gambon might easily have revisited Betrayal, but instead he paired up with Derek Jacobi to reincarnate Gielgud and Richardson in No Man’s Land (pictured below), and she with Nicholas Le Prévost for a slice of Ayckbourn’s Bedroom Farce. If the actors weren’t available, rather than do something else the parts were just recast from the company. Thus Arcadia was (rather uncertainly) peopled by new faces led by Rory Kinnear. Ralph Fiennes ferociously deputised for Anthony Hopkins as Lambert Le Roux. Rosalie Craig not Martine McCutcheon sang of the rain in Spain.

You’d get an intriguing idea of the history of musical theatre from the shows on show here: not just Lerner and Loewe and the inexhaustible Guys and Dolls (Nicely Nicely Johnson was shorn by time constraints of his traditional umpteen encores), but also the fleck and spume of Jerry Springer the Opera and the Ipswich sex worker serial killer musical London Road. And Dame Judi, trotting out “Send in the Clowns” one last time, still can’t hold a tune (no please don’t write in).

This was a compilation album with well-choreographed tonal shifts. Different buttons were pushed as James Corden beat himself up as Francis Henshall, Simon Russell Beale revisited his fiercely intelligent Prince of Denmark, and Joey the foal ballooned into a mighty stallion. And as the story of the National’s 50 years unfolded, a subtle hand was at work making connections between apparently random clips. We segued from one African queen to another as Cleopatra made way for a young gay man in Angels in America dying of Aids and missing his cat Sheba. Alan Bennett’s history boys, caught napping by the headmaster when playing at prostitution in a French class, pretended instead to enact a scene from a military hospital at Ypres. Straight after that the trenches were presaged for real in War Horse.  

And for all the in-jokes about critics and actors, rarely did it feel like a self-indulgent orgy of nostalgia. We don’t know what Rufus Norris’s reign will bring, but this highlights package suggested that it’s high time for a revival of Peter Nichols’ The National Health as the NHS endures its latest growing pains, and possibly also for Pravda as the fourth estate endures moral and financial meltdown. It’s also time for Jacobi, a very early member of the National company at the Old Vic, finally to make his full Southbank debut, possibly in some Pinter.

Quibbles and caveats? As a television event it may have all looked quizzical to non-theatregoers. Filmed theatre has come on a treat since the arrival of swooping high-definition cameras, but stage and screen will never be entirely reconciled so long as actors quite properly see it as their first duty to hit the back wall of the upper circle. Two plays about politicians from David Hare felt like too many. Only one female playwright (Alecky Blythe) was simply not enough. And aside from Clive Rowe rocking the boat, it was quite a white night for lead performers until Adrian Lester came on at the death. His Othello neatly completed the circle, the Moor having been Laurence Olivier’s first role for the National, while making the point that the National and indeed the nation has moved on in half a century.

That’s why the line of the night belonged to Kobna Holdbrook-Smith as Guildenstern in Tom Stoppard’s debut play. “One is having one all the time,” he explained to Benedict Cumberbatch’s Rosencrantz, before clarifying: “A future.” See you at the theatre.

Overleaf: a gallery of images from 50 Years on Stage

Compulsives may be wondering whether it was coincidence that Bedlam, Channel 4’s new four-part documentary following the work of the Bethlem Royal Hospital, reached our screens in the same week that the same channel’s Obsessive Compulsive Cleaners returned for a second series. The channel’s own internal debate as to whether it’s out to entertain or enlighten us has clearly not gone away. Then there was ITV’s hour on OCD Ward on Monday as well, dealing with many of the same issues as Bedlam, no less seriously, this time at Springfield University Hospital.

Most of us like a good legal drama, which is why there have been so many of them. By the same logic, finding a fresh spin or a new way of writing and shooting them inevitably grows ever-tougher.