Around a decade ago, Mark Ronson was a fixture of London’s nocturnal landscape. If you looked closely on any given night around the city’s trendier joints, chances are, you’d have seen him; tall, rakish, with hair slicked back.

“There was too much going out around 2007 and 2008, at the peak of Versions,” Ronson says, referencing the album that cemented his reputation, the one where Amy Winehouse sang Valerie.

“There’d be a city guy coming out of a pub at ...