Exception adjectives are listed in this post. Each word below can often be found in front of the noun exception in the same sentence. This reference page can help answer the question what are some adjectives commonly used for describing EXCEPTION.
above, additional, apparent, big, brief, bright, brilliant, broad, certain, chief, clear, common, considerable, conspicuous, crucial, curious, doubtful, dramatic, e, early, explicit, express, extraordinary
fatal, few, first, fortunate, fourth, fraud, further, general, glorious, grand, great, greatest, happy, hearsay, honorable, honourable, illustrious, implied, important, individual, insignificant, interesting, isolated
just, key, known, large, last, latter, least, legal, legitimate, like, limited, little, lone, main, major, marked, memorable, minor, more, much, narrow, necessary, new
noble, notable, noted, noteworthy, noticeable, obvious, occasional, odd, only, other, outstanding, own, partial, particular, peculiar, positive, possible, potential, primary, principal, probable, prominent, rare
rarest, real, reasonable, recent, recognized, remarkable, sad, same, second, serious, signal, significant, similar, single, singular, slight, small, sole, solitary, special, specific, splendid, statutory
strange, striking, strong, such, temporary, third, trifling, true, une, unfortunate, unhandled, unimportant, unique, unusual, usual, very, violent, welcome
Hope this word list had the adjective used with exception you were looking for. Additional describing words / adjectives that describe / adjectives of various nouns can be found in the other pages on this website.