Watching The Royal Ballet’s The Winter’s Tale a few weeks ago, I was struck by the quasi-absurdity of adapting the Bard for dance - a thought numerous choreographers must have encountered while toying with the idea. The complexity of Shakespeare’s plots and characters, and the importance of his linguistic intricacy has meant that relatively few have dared to take on the task and even fewer have succeeded in creating lasting adaptations.

One of the mottos made famous by internationally renowned chocolatier Willy Wonka was: “A little madness now and then is relished by the wisest men”. Perhaps it’s a quotation that Belgian choreographer Wim Vandekeybus, who put Talk to the Demon together, has framed on his wall. The piece is truly a trip, weaving down a barely trodden path between theatre, dance and art, ignoring narrative in favour of a free-flowing conceptual odyssey, rocketing the audience through exhilaration to tedium and back again.

It might be quite unnerving for a young performer to have the première of a new solo show take place in the same building, at the same time, as Sylvie Guillem is dancing William Forsythe, Mats Ek and Jiří Kylián. But Aakash Odedra, who presented two new pieces, Murmur and Inked, in the Patrick Centre inside the Birmingham Hippodrome on Tuesday and Wednesday this week, has had more dealings than most with superstar dancers and choreographers: his mentor Akram Khan is both (and incidentally a collaborator of Guillem’s).

When Sylvie Guillem became, at 19, the youngest person ever to reach the top rank of the Paris Opéra, she gained a job title – étoile (star) – that uncannily captured her essence. Most companies call their top dancers principal or prima ballerina or soloist, titles that show they have first place among their peers. Sylvie too stands out among her peers, blessed as she is with an extraordinary body, an extraordinary work ethic, an extraordinary intelligence.

If, standing on a station platform, your arms want to make shapes in the air; if, walking home, you are mesmerised by the curved toes of your shoes against the pavement; if, in the kitchen, a stray salad leaf on the floor transforms before your eyes into a tiny green lizard, head up, questioning – then (if you are over the age of 10 and reasonably level-headed) you have probably consumed some mind-altering substance.

On the back wall of Birmingham Symphony Hall’s great oval space, two musicians are poised on a glass balcony that gives the illusion of not being there at all. A small square of warm light picks them out, vivid against the hall’s darkness. So framed, Saint-Saëns’ gentle Prière for cello and organ keeps its intimacy even in that large space, the two instruments blending into one equal sound that is clear, golden, and not too sweet.

It is proof, as if more were needed, of how very right-on Birmingham Royal Ballet’s director David Bintley is, that he chose to open the International Dance Festival currently taking place in that city with two specially commissioned ballets from emerging choreographers who started their dancing careers with the company: Quatrain by Kit Holder and Kin. by Alexander Whitley.

Before Boris Eifman’s second visit to London this week, ballet lovers who missed the divisive Russian dancemaker last time round will have been weighing up the merits of a punt on a ticket. If they were basing their calculations on reviews, I imagine their mental reasoning went as follows. Against: Eifman’s ballets send many English-language dance critics into tail-spinning, virtuosic displays of vitriol (based on genuine dislike: Eifman makes one colleague “want to stand on her chair and howl.”) For: other critics like him; Russian audiences apparently love him.

Stravinsky’s Rite of Spring captures the pulsing terror of seasonal change, the relentless onward drive of nature that brings death closer even as life burns at its most ferocious. The 1913 première of the ballet created by Vaslav Nijinsky infamously caused a riot in its Parisian audience. Michael Keegan-Dolan’s version for his company Fabulous Beast has terrifying dog heads and men furiously humping the ground.

Another week, another major British ballet company takes on a key cultural patrimony in a brand-new work. It might seem odd that the Royal Ballet’s new Winter’s Tale generates more critical reservations than English National Ballet’s take on the First World War, though the two evenings succeed and fail in almost equal measure.