Maori Name: Tauhou

Scientific NameZosterops lateralis 

From NZ Birds Online:

The silvereye colonised New Zealand from Australia in the 1850s, and is now one of New Zealand’s most abundant and widespread bird species. It is found throughout New Zealand and its offshore and outlying islands, occurring in most vegetated habitats, including suburban gardens, farmland, orchards, woodlands and forests. Silvereyes are small songbirds that are easily recognised by their conspicuous white eye-ring; their plumage is mainly olive-green above and cream below. It is an an active, mobile species that moves about frequently, including making sea crossings.

Read more on NZ Birds Online

Silvereye or white-eye, or waxeye