“Angels in America: Millennium Approaches,” the first half of Tony Kushner’s epic drama about AIDS, won the Drama Desk’s best play of the 1992-93 theater season Monday. “Kiss of the Spider Woman” was chosen top musical.Taking awards for lead actress and actor in a play were Jane Alexander, who plays the eldest sibling in “The Sisters Rosensweig,” and Ron Leibman, who portrays lawyer Roy Cohn in “Angels in America.” Chita Rivera, as the exotic title character in “Kiss of the Spider Woman,” was named best actress in a musical; co-star Brent Carver won the actor-musical prize. “The Who’s Tommy” picked up six awards, the most for any show, taking prizes for director of a musical, Des McAnuff; choreography, Wayne Cilento; orchestration, Steve Margoshes; set design, John Arnone and Wendall K. Harrington; lighting design, Chris Parry; and sound design, Steve Canyon Kennedy. Unlike the Tony Awards, which recognize only Broadway productions, the Drama Desk honors Broadway and off-Broadway plays and musicals. The group is made up of New York theater journalists and critics. The winners: Play: “Angels in America: Millennium Approaches.” Musical: “Kiss of the Spider Woman.” Director, play: George C. Wolfe, “Angels in America: Millennium Approaches.” Director, musical: Des McAnuff, “The Who’s Tommy.” Actor, play: Ron Leibman, “Angels in America: Millennium Approaches.” Actor, musical: Brent Carver, “Kiss of the Spider Woman.” Actress, play: Jane Alexander, “The Sisters Rosensweig.” Actress, musical: Chita Rivera, “Kiss of the Spider Woman.” Featured actor, play: (tie) Joe Mantello and Stephen Spinella, “Angels in America: Millennium Approaches.” Featured actor, musical: Mark Michael Hutchinson, “Blood Brothers.” Featured actress, play: Madeline Kahn, “The Sisters Rosensweig.” Featured actress, musical: Andrea Martin, “My Favorite Year.” Music: John Kander, “Kiss of the Spider Woman.” Lyrics: Joel Paley, “Ruthless!” Orchestration: Steve Margoshes, “The Who’s Tommy.” Book of a musical: no nominations. Choreography: Wayne Cilento, “The Who’s Tommy.” Revival: “Anna Christie.” Set design: John Arnone and Wendall K. Harrington, “The Who’s Tommy.” Lighting design: Chris Parry, “The Who’s Tommy.” Costume design: Florence Klotz, “Kiss of the Spider Woman.” Solo performance: Anna Deavere Smith, “Fires in the Mirror.” Sound design: Steve Canyon Kennedy, “The Who’s Tommy.” Music in a play: Ladysmith Black Mambazo, “The Song of Jacob Zulu.” Unique theatrical experience: “Fool Moon.” Special awards: Early Stages, an organization that provides theater tickets to New York City school children; the International Festival of Puppet Theater; and RCA Victor, for its documentation of theater music.