ShockProof:
Any car charger built for NZ domestic will be single phase as it is assumed that a home doesn't have three phase power (but I do). The top limit is going to be about 11 kW as that is going to use a 50 A circuit breaker.
Sorry, but that's wrong.
1) When AC charging, the charger is on board the car itself, not external. The EVSE basically tells the car the available current per phase and provides some safety protections
2) Almost every locally available EVSE has single and 3 phase versions available for the NZ market. You may have assumed that homes only have single phase, but the manufacturers and suppliers do not
3) 11kW equates to 16 amp 3 phase in NZ. AFAIK it is only countries with 110v mains that normally draw more than 32 amp / phase for an EVSE, because they have to get a high current 220v single phase circuit installed for charging
4) A 3 phase variant of an EVSE seems to be a couple of hundred dollars dearer than single phase in NZ
5) Any car with a charger pulling more than 7kW (approx) will have a 3 phase onboard charger
6) With DC charging, the charger is external to the car, so you are buying an actual charger, not just a device to signal and switch the current. That's why they are more expensive
There are several 25kW DC chargers available, like this, but for most people the cost will be prohibitively expensive, particularly if the intention is to save money by utilising free power time slots. If you have 3 phase available, go for a 22kW 3 phase EVSE as the most versatile and cost effective. The bulk of cars currently available will only draw 16 amp 3 phase (11kW), but if you plug in a single phase car, you'll have the full 32 amp available (rather than only 16 if you went for an 11kW 16 amp 3 phase EVSE). There is the odd car that will draw 22kW (eg Zoe) but not that common yet.
As an example an NZ new BMW i3 has 3 x 16 amp single phase chargers on board. Depending on what power source it is connected to, these will connect 1 to each phase, or 2 in parallel to a single phase to draw a max of 11kW 3 phase or 7kW single phase.