The Cotton Blossom looks mighty fine in its latest London iteration, Daniel Evans's winning Sheffield Theatre revival of Show Boat joining the ongoing runs of Guys and Dolls and Funny Girl to offer West End audiences a synoptic view of Broadway musical history. And surely no Broadway title remains more iconic than this one – the 1927 collaboration between Oscar Hammerstein II and Jerome Kern that set the musical form on course towards a level of maturity and daring that few up until that time would have thought possible.

Blood, sexual violence, power games and lashings of nudity. Not Game of Thrones, whose new season has just premiered (yes, he’s really dead. Well, for now) – and whose shadow Kit Harington is trying to escape – but Jamie Lloyd’s graphic take on Marlowe. It’s a production determined to hold your attention, and, thanks to its comic carnival of excess, largely successful in that pursuit. However, like the magic tricks bestowed on its soul-selling protagonist, it’s rather more flash than substance.

Banished from the Barbican are the hollow kings of the mediocre RSC Henrys IV and V. In their place comes a whole new procession of living, breathing monarchs in a vision that's light years away from bad heritage Shakespeare. Doyen of Dutch-Belgian - and world - theatre Ivo van Hove has filleted Henry V, the three Henry VI plays and Richard III to create his own trilogy of Greek-tragedy leanness and power, focusing above all on the totally different characters of three men making crucial decisions in times of civil, internecine and international war.

Vaudeville is having quite the West End moment, with Funny Girl inheriting the Savoy from Gypsy and Mrs Henderson Presents over at the Noël Coward. Gypsy is the pick of the bunch dramatically, delivering theatre history with real psychological heft, but Sheridan Smith’s luminous Fanny Brice gives Funny Girl a fighting chance. She’s such a natural vaudevillian that you begin to wonder if she’s somehow been transported from another age.

A Pulitzer Prize and numerous walkouts: The Flick, infamously, courts extreme reactions. Yet this latest American import is dedicated to minutiae. In Annie Baker’s slow-burning (three hours-plus), microscopic epic, her lens is trained on ordinary people, mundane tasks, arid pauses and inarticulate speech that trails… off.

Charlotte Keatley’s 1987 feminist classic is one of the most often performed plays by a woman writer. It is typical of its time in that this story of four generations of women in one family not only explores the theme of mothers and daughters, but does so with an innovative and experimental approach to theatre form. This revival by the ever-enterprising St James Theatre stars national treasure Maureen Lipman, along with Olivier-Award winner Katie Brayben, who created the lead role in Beautiful: The Carole King Musical.

Andrew Hilton’s new production of All’s Well That Ends Well makes the most of the complexities of a "problem play", neither comedy nor tragedy, and navigates this startling mix of emotional depth and light farce with great deftness. 

The playwright Anders Lustgarten has spent a considerable chunk of his life reading and writing and thinking about China, and clearly wants to set a few points straight. Tired of the persistent Western view of that country and its people as inscrutable and mysterious, and exasperated by what he sees as the clumsy anti-Maoist propaganda of popular works such Jung Chan’s Wild Swans, he has written a play that looks at the effects of the Mao years on a gaggle of ordinary people in one ordinary village – the fictional rural backwater Rotten Peach.

Why do young British Muslims go to join the so-called Islamic State? Since the entire media has been grappling with this question for ages now, it is a bit puzzling to see our flagship National Theatre giving the subject an airing, especially as this is a verbatim drama, which uses the actual words of interviewees, and is thus not so very different from ordinary journalism. But if Gillian Slovo’s Another World: Losing Our Children to Islamic State aspires to be a stage piece, how does it work?

The interviewees’ accounts are never questioned

It’s all change once more for Gordon Greenberg’s slick, protean revival, which began life at Chichester back in 2014, as three new leads join the show’s transfer from the Savoy to the Phoenix. If not a revelatory version of this 1950 masterwork, it’s certainly proved its staying power, and should continue ticking along nicely (nicely) both here and in its parallel touring production.