Say what you will about London theatre during 2015, and by my reckoning it was a pretty fine year, there certainly was a lot of it. I can't recall a year that brought with it a comparable volume of openings, not least during September and December, this year's pre-Christmas slate of major press nights roughly double the same time period in 2014. And as proof that people were actually attending the stuff on offer, empirical evidence as ever was the best guide.

I adapted Around the World in Eighty Days very specifically for my own theatre company, Lookingglass Theatre of Chicago, where I am one of 24 multi-skilled ensemble members who are writers, directors, actors, and/or designers. Although Lookingglass’ work varies, we most often do adaptations of classic stories, frequently epic in scale, told in a highly theatrical, strongly visual and/or physical way.

West Side Story, Kiss Me Kate, even The Lion King – all have shown us how Shakespeare’s stories can translate into musical form. It’s not hard to see why: the plots provide strong frameworks for adaptation, with central problems to be resolved, protagonists for us to root for, villains to charm us, lovers to pity – they're all there. Although Measure for Measure is often referred to as Shakespeare’s problem play, its translation into a musical set in Soho in the 1960s feels – perhaps surprisingly – right.

It would have been impossible to go to Syria. Our plan to perform Hamlet in every nation in the world faced its biggest obstacle to date and the Globe producers were left pondering a Plan B. We considered performing in a Syrian embassy - technically Syrian soil - but playing to an audience of delegates would have missed the point a little. More important than the patch of ground we played on was the people to whom we were playing.

My play Rotterdam opens this week at Theatre503 (I’m getting the plug in early). It’s about two women who are in a relationship and how that relationship changes when one reveals that he has always identified as male. Their names are Alice and Adrian, and I first had the idea for them five years ago.

This year’s Olivier Awards saw the Young Vic trounce its South Bank neighbours, with Ivo van Hove’s revolutionary A View from the Bridge leading 11 nominations and four wins; the production opens on Broadway next week. It reflects an extraordinary period during which the theatre, originally an offshoot of the National, has grown to become one of Britain’s major creative powerhouses – all under the aegis of South African-born David Lan, artistic director since 2000.

I never thought I’d be a writer. Writers are people with something to say, big ideas, agendas. I was a director, through and through. I love working with actors, playing with music and text, thinking in three dimensions. The solitary confinement of a writer’s life filled me with dread. And so I spent a very happy eight years directing before I wrote my first play, Blue Stockings (pictured below by Manuel Harlan), and needless to say, the writing of it took me completely by surprise.

I am writing this in the sun after many days on the trot spent from morning until 11 at night in Jane Eyre’s wonderful new home at the National Theatre. During previews we work every day, refining, changing, have a quick dinner break and then perform a preview performance. It’s the culmination of over two years of living with this story, since Sally Cookson first contacted me in late spring 2013 to discuss her plan to turn this extraordinary book into a piece of theatre.

When I got the call enquiring whether I’d like to adapt The Sunday Times Humour Book of the Year Dear Lupin for the stage, the first thing I did was to thank my lucky stars. Dear Lupin: Letters to a Wayward Son is a collection of real letters, written over 40 years, by racing correspondent Roger Mortimer to his wayward son Charlie (christened “Lupin” after Mr Pooter’s disreputable son in Diary of a Nobody). While I’ve been an actor for 40 years, and a writer for 15, I’d never take the plunge of attempting to write a proper play.

Theatre is one of the glories of British culture, a melting pot of creativity and innovation. Beginning with the coronation of Elizabeth I and ending with the televised crowning of the current Queen Elizabeth, our The Time Traveller’s Guide to British Theatre tells the compelling story of the movers and shakers, the buildings, the playwrights, the plays and the audiences that make British theatre what it is today.