NEW YORK—Shen Yun Performing Arts, the classical Chinese dance and music phenomenon based in New York, travels over 150 cities each year, putting on its showcase of “China before communism.” But even for a globetrotting performing arts tour like Shen Yun, home is still the sweetest. New York City’s Lincoln Center is where Shen Yun made its debut in 2006—and at the March 20 matinee, theater directors gave the performance glowing praise. Harry Haourari, the Lincoln Center’s director of operations, saw the performance with his 17-year-old daughter. Mr. Haourari hails from Morocco and found it very enjoyable to learn about Chinese culture in this way. “I like the production, the choreography. The culture that I had to learn about was absolutely incredible!” he said. “I think it’s gorgeous! It’s beautiful. I give it a 10!” One of Shen Yun’s hallmarks is its live orchestra, which harmoniously blends Western and Eastern musical …