Theater The Tony Award-winning musical “Some Like It Hot,” based on the classic movie and set during Prohibition, is the story of two musicians forced to flee Chicago after witnessing a mob hit. The New York Times says the show is a “super-sized, all-out song-and-dance spectacular.” From Oct.

22-Nov. 3 at Cadillac Palace Theatre, 151 W. Randolph.

Tickets: $30-$125. Visit broadwayinchicago.com .

Britain’s acclaimed Royal Shakespeare Company returns to Chicago for the first time in 30 years with its new production of the Bard’s rarely staged “Pericles.” When Pericles solves a riddle, the answer could cost him his life, and he sets sail on an epic voyage toward redemption and forgiveness. From Oct.

20-Dec. 7 at Chicago Shakespeare Theatre, 800 E. Grand.

Tickets: $58-$120. Visit chicagoshakes.com.

“Pericles” at Chicago Shakespeare Theater. Johan Persson Remy Bumppo Theatre presents “Dear Elizabeth,” Sarah Ruhl’s play that peeks into the private lives of two literary giants — Elizabeth Bishop and Robert Lowell — and reveals their vulnerabilities, insecurities and the intimacy of their bond. Leah Karpel and Christopher Sheard star; Christina Casano directs.

From Oct. 17-Nov. 17 at Theater Wit, 1229 W.

Belmont. Tickets: $15-$55. Visit remybumppo.

org . Spencer Huffman’s “Evil Perfect” is a drama that attempts to reveal how good people with honorable intentions become evil. Danny Breslin and Ashley Neal star; Jonathan Shaboo directs.

From Oct. 17-No.