Terence Rattigan's rehabilitation – some might almost say deification – as a leading 20th century playwright is complete. As well as academic studies, biographies and numerous highly respected revivals of his work, there is a growing clamour to accord him the ultimate, deserved, honour: a theatre bearing his name.

Back in 2009, there were Ben and Wystan on stage (Alan Bennett’s The Habit of Art). Last year came Ben and Master David Hemmings (Kevin Kelly's Turning the Screw), followed by Ben and Imogen Holst according to Mark Ravenhill. That RSC Swan production is now playing in the Richmond round. It grips, thanks to extraordinary performances by Samuel Barnett and Victoria Yeates, and taut dramatic structure, but how deeply is it rooted in truth, and does that matter?

It's all too easy to underplay the melancholy of Shakespeare's comedy of divided twins, misplaced – sometimes narcissistic – love, drunken frolics and a Puritan given his comeuppance. Tom Littler's decision to present the action in a very English Illyria during the years following World War II immediately sets the melancholy tone, but with pleasure bursting to make an entrance.

It’s 1648 in Agra, and an excitable young guardsman has come up with an idea: a giant flying platform that he calls an “aeroplat”. As he might slide off it in transit, for good measure he gives it a belt to tie him down. It would be a “seat belt”, he suggests triumphantly.

The clue is in the title – not Then in America or Over There in America or even a more apposite, if more misleading, Now in America, but an urgent, pin you to the wall and stick a finger in your face, Here in America.

Before Lucas Hnath wrote Red Speedo, he had heard a 2004 speech at a hearing investigating baseball doping that declared the practice “un-American”. That started him thinking about the concept of fairness. After the play had been produced in New York In 2016, another politician was boasting that Americans were going to win such a lot, they "might even get tired of winning”. 

Cricket has always been a lens through which to examine the legacy of the British Empire. In the 1930s, the infamous Bodyline series saw the new nation, Australia, stand up to its big brother’s bullying tactics. In the 1970s, the all-conquering West Indies team gave pride to the Windrush generation when they vanquished an England whose captain had promised to make them grovel. In the 2010s, the brash and bold Indian Premier League saw the world’s largest democracy flex its financial muscle as global power shifted eastwards. 

"We all live here in peace and friendship," notes Telegin (David Ahmad), otherwise known as Waffles, early in Uncle Vanya, to which one is tempted to respond, "yeah, right."

What Zoe Cooper has concocted in her loving rewiring of Jane Austen’s first completed novel looks at first sight like a knockabout satire of a satire. But her aim is more sober than that: a queer rereading of this text as she first experienced it as a student.

Mustapha Matura’s 1981 play, Meetings, is still a knockout. Supply the characters with mobile phones and it could be set in the present day.