The history play has roots that go deep into our culture. We love to see stories that are kitted out in fancy dress, and long to savour a past that resonates with our present. In the case of Dara, which is adapted by Tanya Ronder from an original by Shahid Nadeem first performed five years ago by Ajoka Theatre in Pakistan, we time-travel back to Mughal India in the mid-17th century to confront once again the problem of militant Islam. But is there more here than contemporary issues clothed in colourful garb?

This isn't just a piratical treasure hunt. The NT is also on a rescue mission. The master plan here is, surely, to retrieve Robert Louis Stevenson's vintage adventure story about buccaneers and buried gold from the clutches of shamelessly C-rate panto producers. Opening last night – and recommended for anyone over 10 years old – the National's new upmarket staging visually enchants, while exuding playfulness.

The single spacious room that is the central location of Tena Štivičić’s 3 Winters has seen plenty of ghosts. It’s part of an old Zagreb mansion, and through the course of the play witnesses the diverse events of Croatian history of the last 70-odd years played out in miniature. Three overlapping time-schemes chart the full rotations of surrounding society: from the war-end move towards Communism in 1945, through 1990 eve-of-break-up Yugoslavia, and on to 2011, not long before EU accession.

Behind the Beautiful Forevers, David Hare's adaptation of Katherine Boo's Pulitzer Prize-winning book, works as both play and portent. Viewed on its own terms, the evening grips throughout in its embrace of the multiple contradictions of contemporary Indian life as here filtered through those existing quite literally off the scrap of that country's gathering economic power.

It is no exaggeration to say that Lloyd Newson has created a new theatrical language. Verbatim drama and intricate choreography would seem, on paper, to be fatally competing elements, yet Newson’s hypnotic fusion charges both word and movement with fresh meaning. Critically, the dance element of this typically confrontational new work from his company DV8, covering such harrowing topics as domestic violence, rape, incest, addiction and criminality, prevents it from slipping into hackneyed territory.

The National Theatre's new Dorfman auditorium gets off to a kick-ass start with Here Lies Love, the Off Broadway musical transplant that does for the closing months of Nicholas Hytner's tenure as artistic director what Jerry Springer the Opera did for the early days of his regime a decade or more ago.

Rona Munro’s trilogy of plays about Scotland’s Stuart kings premiered at the Edinburgh Festival when Scottish independence was, for many, still a cherished possibility; it transfers to London – within a clarion call of Westminster – just as the promise has been dashed. As timely as the National’s recent Great Britain, the trilogy is more than merely opportune, resonating with the anger and frustration of centuries.

In his masterly essay in the programme for Enda Walsh's latest play, Colm Tóibín warns against attempting to pin his work to a particular philosophical position, but simply to read into it a metaphor for humanity's efforts to cope with life while knowing that there is no escape from death.  And certainly an attempt at blow-by-blow analysis – even understanding – would be a waste of time. Ballyturk is a thing in and of itself.

Sofie Gråbøl as Danish royalty: it hardly stretches credulity. The face of Nordic noir has been a star in her home country ever since appearing in Bille August's Pelle the Conqueror in 1987, but is solely familiar on these shores as Sarah Lund, the jumpered Copenhagen detective from three unmissable series of The Killing. This autumn the only thing that will be recognisable about Gråbøl will be those big blue eyes as she is spirited back to the late Middle Ages, bewigged, bejewelled and billowing, to play a queen of Scotland.

We know how the story ends, but then so did Euripides' first audience in Athens in 431 BC. Medea was already a familiar character of myth, a sorceress whose ungovernable passion for Jason led her to commit horrible murders when he abandoned her for another woman. Now, as in the Golden Age of Greek drama, the chief interest is in the way the tale is told. And the National Theatre has assembled quite a team for the purpose.