This season, American Ballet Theatre is dancing many old reliables – “Swan Lake,” “Giselle,” and “Don Quixote” – but it is also presenting some new works and major revivals. Chief among the new works is the U.S. premiere of Sir Frederick Ashton’s “Sylvia,” a tale of love set in mythic ancient Greece. ABT co-produced this new production with the Royal Ballet. For the first night, Gillian Murphy will dance the role of Sylvia, the nymph who gets mixed up in love with the shepherd Aminta, danced by Maxim Beloserkovsky. Michele Wiles and Marcelo Gomes will dance the leads on June 13 and 15.

From June 16 to 22, the company is presenting a celebration of the work of Michel Fokine, one of the company’s founding choreographers. Fokine’s work for Diaghilev’s Ballets Russes produced many ballets that took the art form forward. On the program are four very different ballets. “Les Sylphides” (1909) is a plotless ballet that evokes a hushed romantic feeling with its ballet blanc look. The women in long, white costumes and the noble danseur visualize the charm of Chopin’s music, without telling a story per se.

The three other ballets on the program do tell stories. “Petrouchka” (1911) is a sad tale – set in a Russian carnival – of a puppet in love with a ballerina. ABT last danced “Petrouchka” in the 1980s, but it has never before presented Fokine’s “Polovtsian Dances.” This ballet, originally created for the opera “Prince Igor,” is set in the camp of the Polovtsi tribe. The soldiers have captured the prince, but they respect him and put on a show. “Le Spectre de la Rose” (1911) is a magical pas de deux; a young girl comes home and falls asleep while the vision of the rose leaps through her dreams. The ballet is short, but the dream is packed with powerful, emotive dance.

Also returning this season is the extravagant production of “Raymonda,” a love story originally choreographed by Petipa and set to a glorious score by Glazunov. On opening night, June 7, Paloma Herrera will dance the lead, followed by Veronika Part and Ms. Murphy later in the week. If you’re a fan of highflying male dancing, get ready for “Le Corsaire,” starting on June 23. This story is full of pirates, slaves, and beautiful girls. There’s a shipwreck, a bazaar, a palace, and, of course, romance. The dancers to catch are Angel Corella and Carlos Acosta in the role of the slave.