From the UK and the US

When travelling to New Zealand from the UK, there are 2 ways around the world that you may wish to go: Westbound and Eastbound. 

Travelling Westbound

There are direct route such as the Air New Zealand flight 001, which operates between London and Auckland via Los Angeles.  Other connections are available via US cities such as San Francisco and Seattle, though you might as well spend a little time in the city you are travelling via, due to the hassle of the necessity to clear US immigration to transit through the city because of the current US security restrictions.

Travelling Eastbound

There are a range of stopover options to New Zealand with cities such as Singapore and Hong Kong being particularly popular although there are alternate options including Osaka or Tokyo in Japan or a more adventurous route via Bangkok.

Although the only real regional one-stop connection to New Zealand is from Manchester via Singapore with Singapore airlines.