What was the Second World War equivalent of an Arleigh Burke-class destroyer?
Short answerThe Atlanta class, because it concentrated a very large amount of versatile firepower in one cruiser hull.
NotesThe comparison concerns capability density rather than identical missions or technology. Cruiser types such as the Cleveland class are considered before the Atlantas emerge as the closer fit. Their numerous dual-purpose guns packed anti-aircraft and surface fire into a relatively compact cruiser. That abundance of broadly usable weaponry makes them the closest wartime analogue to a modern Burke's heavily armed general-purpose character.