What might a British nuclear-powered guided-missile cruiser have looked like?
Short answerThe Virginia class is the nearest comparison, although the answer depends heavily on the period and the Royal Navy's available resources.
NotesThe closest American comparison for a Royal Navy nuclear-powered guided-missile cruiser is the Virginia class. This identifies a ship whose scale and purpose fit the hypothetical role rather than reconstructing a British design. Any actual choice would depend on the period and on the resources the Royal Navy retained. Its wider fleet programme would also shape the result.