great, true
minor
contemporary, modern
old
all-time
timeless
Charles Dickens's timeless classic, ‘Oliver Twist’

cult, popular
instant
The song became an instant classic and shot to number one.

film, literary, movie (esp. AmE)
comedy, horror, sci-fi, etc.
pop, rock, etc.

be, become, remain

be considered a classic

classic of
one of the great classics of English literature

Classic is used with these nouns:
car, case, cinema, dish, episode, example, experiment, expression, fashion, feature, fiction, film, illustration, instance, look, movie, musical, novel, pop, proportion, recipe, rock, sense, series, show, sign, song, status, story, style, symptom, tale, text, thriller, tune, work