Kingly Nonsense
Technically all kings were equal, but held rank according to the antiquity of their throne. However, France (which is the senior kingdom in Europe) and England both are more prestigious than other kingdoms -except the Empire-- because both sovereigns were anointed during their coronation.
Coronations were not necessary to install a king, but pinned him down to various campaign promises and the like.
In France one would have to invoke the Trinity, the Virgin & Joseph, St. Denis (patron of France), St. Martial (of the French in arms), and St. Genevive (of Paris).
For England St. George and St Michael instead of the local patrons.