It’s just a side benefit to an already crackling evening, but if you see Handbagged, the latest in 59E59’s Brits Off Broadway series, you’ll also take in snippets from several current Broadway offerings. The 1981 Irish hunger strikes (The Ferryman)? They’re here. Rupert Murdoch’s takeover of several Brit tabloids, beginning with the Sun in the late ’60s (Ink)? Also here. And The Cher Show may present three different-aged Chers, each commenting on the others, but Handbagged, Moira Buffini’s 2010 play having its New York premiere, makes do with older and younger versions of Queen Elizabeth II and Margaret Thatcher, each interacting with the past and present and occasionally murmuring, “I didn’t say that.”