Take this as a guide, but please check your devices labels.
NZ is 230v 50hz
TW is 110v 60hz
Usually a sticker somewhere on the device or adapter will say the input voltage. You are looking for universal devices accepting 100 - 240v. Or devices with a physical 230 / 110v switch.
Laptops, phone chargers and other power bricks within the last 10 years are almost always 100-240v input, so yes.
Exceptions that I know of are some game consoles (Xbox 360 at least) so check any you are planning to bring.
Another exception to the charger rule is most oral b toothbrush chargers are not universal voltage.
Desktop computers, modern ones are auto switching, older ones have a switch near the power input to toggle between 110v and 240v.
Audio equipment / hi-fi equipment, the high end stuff usually has a physical toggle switch.
Hair dryers, curling irons etc. most won’t work unless they are travel versions with a voltage switch, really anything with a heating element probably won’t work, including most laser printers and kitchen appliances.
Taiwan does have 220v sockets but they are rare and in inconvenient locations (high on the wall) as they are designed for air conditioners that need 220v. Note: it’s not really recommended to use them for other items and you would need the proper adapter to adapt the plug on such socket.
I am from NZ so I have been through this when I moved to Taiwan.
Remember to bring some NZ 4 way power strips if you are bringing a bunch of chargers. That way you can use 1 adapter for the power strip and plug multiple NZ devices into the strip.
Luckily coming from 240v to 110v you will most likely find the device doesn’t work as the voltage is too low. Going the other way 110v to 240v results in the magic smoke coming out sometimes with a loud bang.