"Rebounded" as in came back, "destroyed" as in thoroughly conquered
I would add Babylonia to your Assyria. The Period of Chaos and following Assyrian rule should certainly qualify as "thoroughly conquered." The Assyrians ruled for some three centuries and it was not until the Chaldeans did a true Babylonian take the throne of the kingdom. The culture was never destroyed, of course, which is what i thought you meant. Instead, the kingdom was conquered and its people conformed, until the eventual phoenix like return of Babylonia.
I asked for qualification because of situations in history such as the Kievan Rus'. This confederacy was weak even before the Mongols, but were done in and "thoroughly conquered" by the Mongols. The culture continued to persist into the high Medieval period in the Duchy of Lithuania and the Kingdom of Poland. However, the Kievan Rus' never founded another nation (used loosely here) of their own, thus they may fit your definition.
An interesting discussion and one that is a) legal and b) not as subjective.