Ballet is hardly a stranger to Broadway. Until the late 1950s every other musical had its fantasy ballet sequence – think Cyd Charisse in Singin’ in the Rain, or Laurey’s dream in Oklahoma!, whose first interpreter was its choreographer Agnes de Mille.

Is the Royal Ballet a “Balanchine company”? The question was posed at a recent Insight evening to Patricia Neary, the tireless dancer who has helped keep the choreographer’s legacy intact since his death in 1983 and a living link with his teaching. Neary has been working with the RB as a coach, advisor and stager of Balanchine’s work for the past 57 years. “Oh yes!” was her emphatic answer.

1965 was a year of change in Britain. It saw the abolition of the death penalty and the arrival of the Race Relations Act. It was the year of the Mary Quant miniskirt and “Satisfaction” by The Rolling Stones. While cinema-goers queued around the block to see The Sound of Music (a critical flop), the Royal Opera House had another kind of hit on its hands.

“Cry sorrow, sorrow, but let the good prevail”. The refrain of Aeschylus’s chorus near the start of the Oresteia is alive and honoured in Henryk Górecki’s rhetoric-free symphonic memorial and Crystal Pite’s response to the dynamism under its seemingly static surface. 44 dancers of all ages, soprano, orchestra and design all work towards a timeless work of art, resonating now but bound to hold up in whatever future remains to us.

Greek myths are all over theatre stages at the moment, their fierce, vengeful stories offering unnerving parallels with events in our modern world. The latest such project is a pithy double bill of opera and dance, both halves (though the first lasts only 20 minutes) featuring the half-man, half-bull Minotaur, and the havoc he wreaks, even in death.

It would be hard to find an antihero more anti than Eugene Onegin. The protagonist of Alexander Pushkin’s long verse novel of 1833 is a wrecker of lives. Charismatically handsome yet arrogant, cynical and bored, his effect on those who fall under his spell is toxic. And yet in the mid-1960s his story suggested itself as material for a ballet so luminous and compelling that it has outlived its choreographer by more than half a century.

Romeo and Juliet or Cinderella? Prokofiev’s two great scores have provided the Royal Ballet with a pair of popular hits, though Macmillan’s R&J has probably been the bigger draw, its Capulets ball music sampled everywhere from TV commercials to Sunderland FC’s pre-match stadium anthem.

Valiant souls who have recently read the Margaret Atwood trilogy on which this new Wayne McGregor piece for the Royal Ballet is based will be at home with its time-shifting eco-sci-fi narrative. The rest of us, not so much.

In 2022, the American choreographer Pam Tanowitz made a duet on Royal Ballet principals William Bracewell and Anna Rose O’Sullivan, which they performed at the company’s Diamond Celebration. That piece has now evolved into a true gem.

In many ways Lewis Carroll’s 1865 compendium of literary nonsense is ideal material for ballet. We all like a story we can hum, even if we’re hazy on the details. And this story, with its topsy-turvy logic and anthropomorphic creatures, is stuffed with quirky detail, much of it surely never intended to go anywhere but over the heads of its original child readers.