Smart, stylish, fleet, and diamond-sharp: This is Noël Coward done right. Directed by Maria Aitken, Coward’s 1930 comedy about second (and third) chances at love stars Bianca Amato and James Waterston as Amanda and Elyot, a once-married couple who bump into each other while on honeymoons with their new spouses. Through June 24. Presented by Huntington Theatre Company. At Boston University Theatre. 617-266-0800, www.huntington
With almost as many languages (three) as characters (four), Aditi Brennan Kapil’s play is, no surprise, about communication, and though it strains credibility at times, its story of how we connect with one another is worth watching. Through June 23. Presented by Company One. At Plaza Theatre, Boston Center for the Arts. 617-933-8600, www.companyone.org
Inspired by “Sesame Street,” the 2004 Tony Award winner for best musical is a dark story of growing up in the big city. With its adult themes and graphic puppet sex, it’s not for children. But adults will be able to access their inner child
. Through July 1. Lyric Stage Company, Boston.