A comedy of alienation, estrangement, and magical metamorphosis – if ever there was a Shakespeare play made for the linguistic transfigurations of the Globe to Globe season it’s A Midsummer Night’s Dream. Unmoored from the familiar English text and cast adrift in a forest of mischievous Korean spirits, you couldn’t wish for livelier or more bewitchingly colourful guides than the actors of the Yohangza Theatre Company.

When Zhang Dongyu’s charismatic Richard III rose from the dead to take his bows for Sunday’s spellbinding afternoon performance by the National Theatre of China, the actor paused, remaining on his knees to kiss the stage of the Globe. It was a gesture both charming and wildly popular with the sodden but appreciative audience, affirming that, for the guest artists from afar, bringing their interpretations of the Bard to the Thames-side temple is a very big thrill and emotional experience.

The rain it raineth every day this week, sometimes with monsoon-like persistence. Yet there’s no dousing the ardour of groundlings and thespian visitors to the global Shakespeare village within the wooden O. Comic exuberance reaches a sophisticated high watermark here with the Company Theatre of Mumbai unfurling Twelfth Night as a Hindi musical.

Something extraordinary is happening at Shakespeare’s Globe. However unlikely the appeal, audiences are flocking to every one of Globe to Globe’s visiting productions. But sometimes logic surely cannot be defied. A full house for Pericles, and an ecstatic ovation?

Of all Shakespeare’s plays, his reprise of Falstaffian humour to please Queen Bess is surely the most specific in its prosaic gallimaufry of earthy English vocabulary. Yet it’s also the most universal in its target-practice at the lecherous, traditionally overbuilt gentleman-hero.

What a joy this once-in-a-generation season is. From Moscow comes this free-wheeling production of Shakespeare's great morality play, and one that also makes remarkably free with the text too. Even those familiar with Measure For Measure will be thankful for the surtitles, particularly in the second act when director Yury Butusov dispenses with whole scenes, including the denouement.

So, what's the "problem"? All is right with the world - or the theatre at least - in the Maori-language staging of Troilus and Cressida from the Auckland-based Ngakau Toa troupe that pierces right to the troubling heart of this first of Shakespeare's three so-called "problem plays".

"Shakespeare’s Coming Home," boasts the strapline of a highly ambitious strand of London 2012’s Cultural Olympiad. Between now and 9 June, 37 productions of the complete canon by Shakespeare (with apologies to Two Noble Kinsmen fans) will be seen at Shakespeare’s Globe by 37 different theatre companies from all over the world. Hence the catchy title, Globe to Globe, which forms only a part of a World Shakespeare Festival continuing until September and taking place all over England and Wales, from Stratford-upon-Avon to the National Eisteddfod.