There used to be a PER-AKL flight (a BA extension to their 744 service LHR-SIN-PER I think). But that stopped quite a few years back. SWP (from a OneWorld perspective) only covers Australia, New Zullund, PNG and the Pacific Island ports of Noumea, Suva, Nadi, Apia, Port Vila and Papeete. However, some of these Island ports are only accessible via codeshares on a Global Explorer fare and not on a OneWorld Explorer fare.
Anothefr good earner is PER-CNS, but it also falls under the same segment restrictions as PER-SYD and PER-BNE.