I'm jealous, our Kereru are extremely shy, but make up for it with amazing aerobatic displays in the spring.
We're a little North of you, Adam, and add to your list Pukeko which tend to get shot as they are a nuisance, Magpies (ditto) and - drumroll - Kookaburras which have migrated from Kawau Island.
Their collective noun I read, is
Riot and well earned.
They will no doubt become a pest but I enjoy their sunset chorus.
They compete with our native Kingfisher alas.

And we have had a resident pair of Ringnecked Pheasant for many generations.
Plenty of California Quails too, and the occasional Harrier Hawk to eat them.

Perhaps related to lockdowns, birdlife has exploded in the last few seasons.
EDIT: We call our Morepork
RURU which I feel fits well.
We have half a dozen within earshot, of an evening you can hear them moving around until the calls sound equidistant, and the night's hunting ground is established.