Concert halls and opera houses in Vienna, Berlin and beyond are offering fan favorites (“Die Fledermaus”) and surprises (an operatic “Animal Farm”).The winter opera and classical music season in Central and Eastern Europe balances holiday classics with rarities and even some fresh works. Opera houses and concert halls from Vienna to Berlin to Prague are presenting a varied program of old chestnuts and new discoveries. Here is a selection.Munich“Die Fledermaus,” Bayerische Staatsoper, through Jan. 10Barrie Kosky’s new production of Johann Strauss Jr.’s most popular operetta, “Die Fledermaus,” a New Year’s Eve favorite in much of Europe, is one of the most eagerly awaited events of the season here at the Bavarian State Opera. Mr. Kosky, an Australian director with a wide-ranging résumé — his recent successes include “Das Rheingold” in London and “Chicago” in Berlin — stages Strauss’s infectiously tuneful farce with energetic panache and a dash of camp. Vladimir Jurowski, the Munich company’s general music director, leads a spirited cast headed by the German star soprano Diana Damrau. The dynamic performances, carefully controlled chaos of Mr. Kosky’s staging, and a few unpredictable touches make this 150-year-old work seem fresher than ever. The Dec. 31 performance will also be streamed on the State Opera’s online platform. For the more traditionally inclined, the company is also bringing back August Everding’s sumptuous 1978 production of Mozart’s “Die Zauberflöte” (through Saturday).Barrie Kosky’s staging of “The Golden Cockerel,” performed in Lyon, France. The Komische Oper in Berlin, where the production will play this winter, has a long history with Slavic repertoire.Jean Louis FernandezBerlin“The Golden Cockerel,” Komische Oper Berlin in the Schiller Theater, Jan. 28-March 20A new production of Rimsky-Korsakov’s “The Golden Cockerel” at the Komische Oper Berlin is the first premiere to be led by the company’s newly minted general music director, the American James Gaffigan. This riotous and surreal take on the fairy-tale opera by Mr. Kosky, who ran the Komische as artistic director from 2012 to 2022, has also graced stages in Aix-en-Provence and Lyon, France, and Adelaide, Australia. In Berlin, it becomes the company’s latest foray into Slavic repertoire after inventive and gripping productions of Tchaikovsky’s “Eugene Onegin,” Prokofiev’s “The Fiery Angel” and Shostakovich’s “The Nose.”“Rusalka,” Staatsoper Unter den Linden, Feb. 4-22Antonin Dvorak’s 1901 opera “Rusalka” hovers on the edge of the standard repertoire. The lyrical and soaring aria “Song to the Moon” is better known than the rest of this dark and symbolically rich adaptation of Hans Christian Andersen’s “The Little Mermaid.” The Hungarian filmmaker Kornel Mundruczo directs the first new production of “Rusalka” at the Berlin Staatsoper in over half a century. The British maestro Robin Ticciati, music director of the Deutsches Symphonie-Orchester Berlin, conducts the lush and frequently melancholy score.Vienna“Animal Farm,” Wiener Staatsoper, Feb. 28-March 10The Russian composer Alexander Raskatov’s “Animal Farm” arrives at the Vienna State Opera in late February, in a production by the Italian director Damiano Michieletto. Reviewing the work’s world premiere in Amsterdam earlier this year, Shirley Apthorp, the Financial Times’s opera critic, praised Raskatov’s “violent, compelling sound-world, percussive and angular, full of unpleasant truths” in this operatic setting of Orwell’s famed allegory of the Russian Revolution. The British conductor Alexander Soddy leads the work’s Viennese premiere.Franz Welser-Möst and the Wiener Philharmoniker, Feb. 22-26In the first of five February concerts with the Vienna Philharmonic, Franz Welser-Möst, the former general music director of the Wiener Staatsoper and longtime leader of the Cleveland Orchestra, tackles Mahler’s towering and elegiac Ninth Symphony at the Wiener Konzerthaus. On subsequent programs, performed in the Musikverein, the Austrian maestro leads the Viennese in works by Ravel, Hindemith, Schoenberg, Berg, Bruckner and Richard Strauss.West Side Story, Volksoper Wien, Jan. 27-March 24In late January, music by Leonard Bernstein will resound through Vienna’s opera houses. Shortly after the American director Lydia Steier unveils her “Candide” at the MusikTheater an der Wien, a new “West Side Story” arrives at the Volksoper, the city’s traditional operetta and musical stage on the other side of town. (The house’s other productions this season include “Die Fledermaus” and “Aristocats.”) For the director Lotte de Beer’s rendition of the quintessential American boy-meets-girl musical, performed in a mix of German and English, the Puerto Rico-born, New York-raised choreographer Bryan Arias updates Jerome Robbins’s classic dance moves.“Katya Kabanova” at the National Theater in Prague, featuring, from left, Jaroslav Brezina, Eva Urbanova and Alzbeta Polackova. Zdeněk SokolPrague“Katya Kabanova,” The National Theater, March 22-27Leos Janacek’s searing 1921 opera about the emotional unraveling of an adulterous wife in 19th-century Russia returns to the National Theater in Prague in a production by the provocative Catalan director Calixto Bieito, who is famous for his unorthodox interpretations of classic operas. Jaroslav Kyzlink, a Janacek specialist, leads the psychologically raw score and Alzbeta Polackova, a much-loved soprano with the company, tackles the vocally and emotionally punishing title role.Bratislava, Slovakia“Hubicka (The Kiss),” Slovak National Theater, March 1-June 8In honor of the 200th anniversary of the great Czech composer Bedrich Smetana’s birth, the Slovak National Theater presents his 1876 opera “The Kiss.” Once among the composer’s most popular works, “The Kiss” has long been eclipsed by Smetana’s earlier comic opera “The Bartered Bride,” and is remembered mostly for its lilting lullaby. With Andrea Hlinkova’s new production, the Slovak National Theater, which, coincidentally, was opened in 1920 with a performance of “The Kiss,” hopes to change that.Budapest“Bartok DanceTriptych,” Hungarian State Opera, Feb. 1-24Three works by Hungary’s great modernist composer Bela Bartok comprise this new ballet, choreographed by a trio of creatives. Laszlo Velekei, the director of the Ballet Company of Gyor, in northwestern Hungary, tackles “The Wooden Prince,” a pantomime ballet (a work half-danced, half-mimed) that premiered at the Hungarian State Opera House in 1917. Bartok’s second (and last) ballet, “The Miraculous Mandarin,” caused a scandal when it was first performed in 1926 in Cologne, Germany, because it depicted a girl forced into prostitution in a seething modern metropolis. In her production, Marianna Venekei, a longtime member of the Hungarian State Opera, explores the psychology of the work’s motley crew of city dwellers. Rounding out the program is the “Dance Suite” (1923), originally a concert piece and here choreographed by Kristof Varnagy, whose varied résumé includes projects with classical ballet companies, contemporary dance troupes and even Cirque du Soleil. Writing about the short movements that make up the “Dance Suite,” Bartok said his aim was to “present some idealized peasant music.” More