Arena Stage Thursday announced the eight plays that will make up its 1986-87 season, the theater's 36th.

Exiled Russian director Yuri Lyubimov will make his American debut with his adaptation of Dostoevski's "Crime and Punishment" (Jan. 2-Feb. 22 at Arena's Kreeger Theater). British director Les Waters, who directed the original English production of Caryl Churchill's "Cloud 9," which played at Arena in 1984, will direct the American premiere of Irish playwright Anne Devlin's "Ourselves Alone," a drama set in Belfast (March 20-May 10 at the Kreeger).

Arena producing director Zelda Fichandler is set to direct Arthur Miller's "The Crucible" (June 6-July 12 at Arena). Fichandler, whose responsibilities as chair of the Acting and Directing Department at New York University's Tisch School of the Arts keep her away from Washington for much of the year, will be directing at Arena for the first time since her staging of Chekhov's "The Three Sisters" in 1984.

Associate producing director Douglas C. Wager will direct Shakespeare's "Measure for Measure" (Oct. 17-Nov. 23 in the Arena). Wager, who also directed Arena's updated version of Shakespeare's "The Taming of the Shrew" last season, won a Helen Hayes Award this year for his direction of "Execution of Justice."

Garland Wright, formerly artistic associate at Arena and now the artistic director of the Guthrie Theater in Minneapolis, will return to Washington next season to stage "The Piggy Bank," a French farce by Eugene Labiche and A. Delacour (Dec. 5-Jan. 11 at Arena). And producing associate James C. Nicola, who directed Arena's production of " 'night Mother" last season, will stage Christopher Durang's comedy "The Marriage of Bette and Boo" (Oct. 3-Nov. 23 in the Kreeger).

Rounding out the season will be Sam Shepard's epic "A Lie of the Mind" (Jan. 30-March 8 in the Arena), which won the New York Drama Critics Circle Best New Play Award for 1985-86, and George Bernard Shaw's classic "Heartbreak House" (April 3-May 10 in the Arena). Directors for the two productions are still to be named.