Joe White’s Blackout Songs, nominated for an Olivier Award in 2023 and now playing Off-Broadway, depicts the convulsive romance of Alice and Charlie, who meet at the coffee urn of an Alcoholics Anonymous (AA) meeting and rush headlong into the squalid territory of pop-modernist classics such as The Lost Weekend and Days of Wine and Roses. Drunken-wastrel love is an old story, but White—with skilled assistance from director Rory McGregor and a team of very good theatrical designers—gives this short, insightful drama a 21st-century sheen.