Successor adjectives are listed in this post. Each word below can often be found in front of the noun successor in the same sentence. This reference page can help answer the question what are some adjectives commonly used for describing SUCCESSOR.
able, anointed, appointed, be, capable, catholic, chosen, competent, democratic, direct, distinguished, eminent, eventual
famous, first, fit, fitting, fourth, future, good, great, greater, greatest, handpicked, hereditary, illustrious
immediate, intended, last, later, latest, lawful, legal, legitimate, likely, lineal, logical, male, modern
natural, new, next, obvious, online, only, other, own, permanent, picked, political, popish, possible
potential, present, presumptive, probable, proper, protestant, real, republican, rightful, royal, second, sole, soviet
spiritual, such, suitable, temporary, third, true, unfortunate, unworthy, worthy, young, youthful
Hope this word list had the adjective used with successor you were looking for. Additional describing words / adjectives that describe / adjectives of various nouns can be found in the other pages on this website.