Are SSBNs today's battleships while attack submarines fill the cruiser role?
Short answerTo a degree: SSBNs are strategic capital ships, while attack submarines are more cruiser-like, with diesel boats especially close to traditional wartime submarine roles.
NotesThe comparison works as a functional analogy rather than a precise one-for-one replacement. In this hierarchy, ballistic-missile submarines occupy the capital-ship position while nuclear attack submarines resemble cruisers. Diesel-electric attack boats most closely continue the traditional Second World War submarine role, although other attack submarines share parts of that mission set. The point concerns relative fleet functions and hierarchy rather than a literal replacement of surface-ship classes.