In the late 1980s and early 1990s, both Australia and New Zealand had much more serious incidents to deal with. There was the failure of state banks and the parlous condition of Westpac in Australia, and similar problems at the BNZ and DFC in New Zealand.
Before that, in 1979, there was the problem at Bank of Adelaide, and both countries have experienced fringe financial institution failures. None of this makes Australia and New Zealand unique. It is easy to find other countries that have experienced banking system difficulties that were even more serious.