I can't think of any case of a Greek mythological hero having a son who achieved more fame, glory and "heroic status" than him.
Looking the descendency of Perseus, Heracles, Theseus, Jason, Achilles, Odysseus, etc, they all had sons. Some of them were noble and quite heroic, but still they were way far from achieving the feats and fame of their fathers.
So, is there any case in Greek mythology of a son surpassing or even equaling the fame of his heroic father?