V&A's opera show is a wonder of modern storytelling

There was a point so outrageously fabulous during the V&A's new opera exhibition that I found myself quivering with the pure, unadulterated joy of a small child on Christmas morning.

It's in the section devoted to Handel's Rinaldo. The exhibit displays wrap around a disused stage with early18th century scenery piled in the wings, ropes and pulleys hanging from the rafters. Suddenly, you hear the hubbub of crowd noise, the tap-tap-tap of a baton, and scenery moves into place. As the overture rises, layers of canvas-on-wood waves ... one behind another to a painted horizon ... churn in a circular motion, creating a remarkably convincing illusion of a swelling sea. Rinaldo's boat crosses from one side, a sea deity rides from the other, while scenery clouds part to reveal a sun shining down on a glittering foreign city. It is magical. And exactly the way the London audience would have seen it upon its debut in 1711.

It's one of many moments in this blockbuster show that stirred powerful emotions from glee to dread. Great opera should make you feel, and this masterful collaboration between the Victoria and Albert Museum and the Royal Opera House does that with aplomb. This is a great exhibition because of the way it sheds light on its topic, and because of the objects it brings together, but mostly because it has combined design and technology to give us an immersive experience that embodies the very best of modern storytelling.

You know you're in for something special when you get given a set of top-quality wireless headphones with your ticket, head towards a lavish red curtain and find Tony Pappano, music director of the ROH, welcoming you in. From there, you wander through seven operatic experiences, exploring each production in tandem with the city in which it premiered and thus the political and social trends of its time. These spaces spiral around a final, central area where a series of large screens show off the state of opera in the modern world.

While opera combines many art forms, the music comes first. So giving this exhibit a stirring soundtrack is the foundation of its success. The sound quality is excellent, the choice of musical excerpts beautiful and the technology that shifts you automatically from one audio element to the next is almost flawless. (There were a few times when I stood too close to a section divider and had the next opera cutting in prematurely, but you quickly get the hang of coming back into the main path.)

There are plenty of fascinating things in cases to look at, from beautiful instruments to lavish costumes and original scores. Set design has always been a critical part of opera, and it plays a significant role here. In the Marriage of Figaro section, they've brought in a whole wall from the set of the ROH's highly acclaimed production. In the bit on Strauss' Salome, heavy with Freudian associations, you can take a seat on an oversized version of Freud's famous, Turkey-carpet covered couch to watch the action. Labels on the walls of each section capture key points in snackable bites; design for the social media generation. A risky move ... it could have seemed a cheap attempt to get down with the "yoof" ... but it was actually a beautifully conceived way to get essential facts across quickly and simply. This is worlds away from the dry, academic labels that usually accompany worthy museum shows.

In each case, there are videos of real performances to add to your understanding. Beyond the exhibition, the BBC has produced a two-part show with Lucy Worsley on the same topic. The V&A's web site is full of additional information and short films. The seriously keen can even sign up for classes at the museum. This is the embodiment of the modern, multi-media, multi-channel exhibition.

It's not all perfect. The format of seven premiers in seven cities is an interesting concept, but ultimately creates a rod for their own backs. It works beautifully for the early operas. We experience Monteverdi's Coronation of Poppea at the same time the decadent opulence of Venice gives birth to the art form. Handel's Rinaldo in London sees opera grow up and move beyond Italy as the English capital grows to world prominence, while Mozart's Marriage of Figaro puts Enlightenment trends in Vienna on stage. Verdi's Nabucco premier in Milan is unquestionably linked to the Italian unification movement, but we start to lack balance here as this part of the show becomes more about the politics than the opera. (Although I found one of my favourite displays here: a photographic wall of 150 Italian opera houses, backlit and shining like precious jewels.)

We really slide off the rails when Wagner's Tannhauser gets paired with Louis Napoleon's Paris. True,  a quirk of history did throw this opera and city together; but it's an uncomfortable forced marriage. Wagner and his work was so inextricably linked to Germany, and the role of "Mad" King Ludwig is one of opera's greatest off-stage stories. To do Wagner and his enormous impact on the art form justice, we deserved one of the Munich premieres. Instead, it felt like the curators wanted to avoid the troubling German nationalist legacy, and needed to wedge Paris in somewhere, so pushed the two together.

Then it's on to Dresden, where I actually enjoyed exploring Strauss' Salome more than I thought I would. Though the Dresden tie seemed completely incidental; most of the trends we were talking about here came out of Vienna. While I'm still not enough of a convert to want to see a full production of this challenging (both musically and topically) production, linking it to the world's growing awareness of female sexuality and teenage angst was fascinating. Oscar Wilde's play and Beardsley's prints (beautiful but disturbing) show how Salome's story was so much bigger, and on trend, than the one opera.

Unfortunately, the final section on Shostakovich's Lady Macbeth of Mtsensk (paired with Leningrad) risked destroying all the joy that had come before. The plot is distressing, the political reality of Stalin's Russia horrible and the music so discordantly awful that I had to take off my headphones. Porgy and Bess would have been a much more satisfying, and palatable, take on the move toward modern opera, but I assume its launch in Boston ... hardly a world-renown opera town ... took it out of contention.

Sadly, I was so disturbed by the Shostakovich that I didn't have the mental energy to spend much time in the final room with the screens exploring opera since 1945. Having resumed my headphones, I entered to a blast of discordant notes, violent images and ugly, industrial set design that reinforced my ingrained prejudices that the art form has steadily gone to hell since the death of Puccini. I would have liked to have been convinced otherwise. My greatest complaint about the otherwise wonderful show is that they didn't use this fantastic opportunity to change my mind.

Instead, I slipped quickly back into the Wagner section, closed my eyes and listened again to the overture to Tannhauser. Then I took off my headphones and walked through the modern bit in silence.    Emotional equilibrium recovered, my final verdict remains overwhelmingly positive. This unique exploration of the art form will intrigue anyone who's even mildly interested in opera, while the topic, format and design will delight people fascinated by how we tell stories.

Opera: Passion, Power and Politics is on at London's Victoria and Albert Museum through 25 February. It's a good idea to book tickets in advance, especially on weekends or for Friday night openings.