You can access to the Apollo Geospatial Portal and APIs to access various data sources at this data portal. There are also various datasets available on the Christchurch City Council website such as traffic counts and tidal data by doing a search for data.
Whanganui Data has data on a variety of subjects such as transportation, utilities, farming, and ocean data. This portal also has geospatial data such as boundary and cadastral data along with imagery.
GIS data portal that is a collaboration between the Nelson City Council and Tasman district council. You can find data on subjects such as recreation, planning and hazards. In addition, you can find historical aerial imagery.
NRC Local Maps has a variety of web maps on the environment, recreation, property, civil defense, transport, and the proposed regional plan. You cannot download the data, but you can share the data in an ESRI web mapping app or embed it into a website.