Via the Chichester Festival and acclaimed runs on Broadway and in the West End, director Rupert Goold's Macbeth has made a sizzling transition to television. Set in an anarchic, war-torn Scotland and suffused with imagery of murder, torture and Stalin-style purges, it placed Patrick Stewart's thunderous central performance in a spinning black hole of evil, into which he was remorselessly sucked as the action developed.

For quirky authority in Shakespeare, Kathryn Hunter is surely up there with Mark Rylance. Her production of Pericles was one of the two best things I’ve seen at the Globe – Rylance in Twelfth Night being the other - her characterisations of Lear and Richard III as compelling as any. Hunter plays Cleopatra as a regal, shrewd eastern cousin of Katherina and Beatrice, making the case for a very human prose which would no doubt work better if the production around which she snakes and sharptongues found a little more poetry in other quarters.

It's the right season for a frosty Lear. With people being frozen on the open road by temperatures rarely visited upon the land, we're reminded that nature can be our greatest adversary, that we're placed in the universe as much to fight its innate physical savagery as we are to fight each other. With the exception of The Winter's Tale and As You Like It, with which King Lear keeps close thematic company, Shakespeare's plays don't really address the wild outdoors.

Derek Jacobi (b 1938) grew up in Leytonstone. His father was a tobacconist, his mother worked in a department store. Although he entered the profession in the great age of social mobility in the early 1960s, no one could have predicted that he would go on to play so many English kings - Edward II, a couple of Henry VIIIs and Shakespeare’s two Richards - as well as a Spanish one in Don Carlos. This month he prepares to play another king of Albion: Lear, against which all classical actors past a certain age must finally measure themselves.

Can you go home again? That's the question that will be hanging over the Royal Shakespeare Company's first residency at the Roundhouse since their "History Play" cycle stormed north London over two years ago, reminding those lucky enough to catch it of the loss to the capital ever since the RSC opted out of a London base of operations.

The relationship between stage and screen has always been fraught with antagonism and suspicion. One working in two dimensions, the other in three, they don't speak the same visual language. But recent events have helped to eat away at the status quo. On the one hand, theatre has grown increasingly intrigued by the design properties of film. Flat screens have popped up all over the place, notably in Katie Mitchell’s National shows and at the more ambitious work of the ENO. Meanwhile, theatre and opera have been encouraging those who, for reasons of distance or price, can’t make it to the show itself to catch it on a cinema screen instead.

We sophisticates aren't really meant to enjoy Gounod. His simple 19th-century brew - five parts sentimentality, one part religiosity - isn't supposed to wash with modern palettes that crave layers of meaning, irony and social context. The ENO's solution last month was to present a version of Gounod's Faust that had these elements filled in. It flopped.

Those teenage lovers Romeo and Juliet will be dying nightly on a stage near you in various guises for much of the autumn - not as Shakespeare’s play, but as ballets and operas based on it. Next week both Birmingham Royal Ballet and English National Ballet field two of the more famous versions on their autumn tours, while at the end of the month the Royal Opera stages a rare revival of Gounod’s opera.

The National Theatre’s new production of Hamlet is both a very good Hamlet, yet also a somehow disappointing one. For a work so rich in possibilities, with so much emotion, so much superb and intricate engineering, it is often like this, in England or anywhere else - inspiring and unconvincing at once.

Nico Muhly at the piano, Stephen Petronio in a false beard, a storm-at-sea theme derived from The Tempest - how hip is that? I Drink the Air Before Me, a new work for the Stephen Petronio Company as the opening night of this year’s Dance Umbrella (the annual international modern dance fest that packs London’s venues for the month), had promise. The young composer delivered, the theme had its moments, but the picture above is a fiction - it’s a wish-list, as so many publicity stills for dance are, fine tailfeathers for dull birds. A couple of hours later I grope for my notebook to remember the choreography I saw last night.