If you don’t know the steps or the stars being semi-spoofed, will you laugh? Yes, though perhaps not as much as anticipated. The best parody needs to be as good as the original, and “the Trocks”, as Tory Dobrin's New York-based company has been known in its 40-plus years to date, take their Petipa and Ivanov very seriously. The drag gags are mere ornaments to a classical feast, and don’t fly into the fantastical like some of the ones you get in any Matthew Bourne show; the real reward is some remarkable dancing.

Someone more unlike Louis XIV than David Bintley is hard to imagine. The latter comes across on TV as the most pleasant, unthreatening, mild-mannered of Everymen; unthinkable that he would order the massacre of Protestants or proclaim, “l’État, c’est moi.” Yet the quiet poise with which he glides down the Hall of Mirrors in Versailles at the beginning of The King Who Invented Ballet reveals what Bintley has in common with the legendary absolute monarch: he’s a classically trained ballet dancer.

When English National Ballet premiered Lest We Forget in April last year, to enthusiastic reviews, they were ahead of the pack with First World War commemoration, and the ambitious modern programme was the first sign of Tamara Rojo's determination to make the company's repertoire more contemporary. But in the intervening 18 months there have been war-themed ballet programmes aplenty, and we have all got used to the sense of dynamism that swirls around ENB under Rojo's leadership.

New Edinburgh Festival director Fergus Linehan has made it clear he wants to offer things people actually want to see. So including Wayne McGregor - prolific, popular, energetically self-promoting doyen of contemporary dance - in the dance programme for the first time makes plenty of sense.

When the Royal Opera House told Kenneth MacMillan that Mahler was unsuitable for ballet, he went – where else? – to Germany. Though the success of MacMillan's Lied von der Erde for Stuttgart Ballet led to its happy adoption into Royal Ballet repertoire, making ballet to Mahler still seems to draw German companies more than others – whether because the orchestras, audiences, or state subsidies are better, who knows?

It is an axiom of Israel Galván criticism to say the Spaniard is wired differently. He's the "Bowie of flamenco" - leggy and intense, unpredictably sparky, intemittently brilliant, and sometimes incomprehensible. His new show, Lo Real/Le Réel/The Real which had its UK premiere at the Edinburgh International Festival last night is about gypsies under Nazism and in the Holocaust, but it approaches its subject in an impressionistic, roundabout way that during the performance feels a lot more like a journey into Israel Galván's oddball consciousness than a history lesson.

St Petersburg Ballet Theatre is a phenomenon of the new Russia: not anchored in centuries of history or state patronage like its neighbours the Mariinsky and the Mikhailovsky, but founded as a commercial venture in 1994 by Konstantin Tachkin, a wannabe impresario with no balletic training. It tours widely, and evidently has no difficulty selling out foreign theatres – including the Coliseum for Swan Lake last night – with a combination of recognisable productions and "Russian ballet" cachet.

The original idea for the subtitle of this show, first made in 2000 and last seen at Sadler's Wells in 2007, was apparently "An Auto-Erotic Thriller". Yes, groan. But "erotic thriller" is a much straighter description of The Car Man than its actual, rather coy, subtitle, "Bizet's Carmen Reimagined". This is a nail-biting ride, and certainly not suitable for kids.

Christopher Wheeldon is the purveyor of pretty. You can perfectly well see why San Francisco Ballet, who commissioned a new full-length work from Wheeldon in 2012, got cold feet at the prospect of tackling the difficult, Britten-scored Prince of the Pagodas, and steered Wheeldon instead towards Cinderella, with its ready-made audience of little girls in blue sparkly dresses and splendid Prokofiev score.

No, don't check your calendar – it's definitely not March. I associate flamenco at Sadler's Wells so strongly with their annual two-week festival in early spring that watching Paco Peña Company at the Wells last night felt a bit like a cheeky out-of-season treat, akin to buying foreign strawberries before the native ones have come in. Fortunately, this was no watery, bland, forced berry, though: Peña and friends are some of the best in the business, purveying reliably high-quality goods in smart, well-produced packaging.