The Shamelessboyz Theatre Company–a London fringe ensemble focused on gay-themed work–makes its Chicago debut with American playwright Jack Heifner’s all-male reworking of La Ronde, Arthur Schnitzler’s classic portrait of erotic couplings and uncouplings in fin-de-siecle Vienna. Moving the action to contemporary Britain, the play (packed with nudity and simulated sex) tracks a series of passionate pursuits: a street hustler tries to seduce a “straight” sailor, a wealthy youth flirts with his parents’ handyman, a vain actor teases an infatuated writer. Under Peter Bull’s direction the acting, like the script, ranges from richly textured (notably Graham Townsend and Gareth Watkins as a horny college kid and an uptight professor) to stilted and stereotyped; the result is an interesting but inconsistent evening of theater. Through 7/9: Wed-Thu 8 PM, Sat 6 PM, Sun 4 PM, Fri 6/30, 9:30 PM, Fri 7/7, 7 PM, Bailiwick Repertory, Bailiwick Arts Center, 1229 W. Belmont, 773-883-1090, $25.