In New Zealand After a Nuclear War, a 1983 publication from the New Zealand Planning Council, it was thought unlikely that New Zealand would be directly targeted. Quite frankly, there was nothing here that merited the use of one of the relatively scarce inter-continental delivery systems. It was thought highly likely that Australia would be targeted, though, with something in the region of 5 targets directly attacked and a high-altitude burst to cover the whole area with EMP (which would cover NZ as well, and be pretty devastating in its own right). This was likely to be tasked to Soviet Pacific Fleet SLBMs that weren't expended against US allies and bases in the Northern Pacific Rim and East Asian regions.
Personally, I think it's about 50/50 whether all those attacks would actually reach their intended targets. It would require one or two out-of-date boomers to get close enough to launch their missiles, do so without being taken out, and for all the missiles and warheads to work as advertised. Australia and NZ would certainly get off lighter than other areas, and although Australia is likely to receive at lest a few successful strikes mistakes in targeting might mean the damage isn't too bad.