Extra Apple ID for another country

Go to https://appleid.apple.com/ and choose create your Appleid. When it asks for a credit card or payment method, choose none.

See -> How to create a new Apple ID - Apple Support and there is a section about what to do if “none” does not show as an option for payment.

You could buy gift cards in NZ and load your AppleID with those to purchase things in NZ.

You can have one AppleID and simply change your region to wherever you are. See -> Change your Apple ID country or region - Apple Support

The issue with that would be that you have to clear any AppleID balance, and cancel all subscriptions before you can change region. With two AppleIDs you don’t have to deal with any of that, but you would have to sign the current AppleID out on your devices, and sign in with the alternate AppleID each time you change country. Only a single AppleID can be signed in on a device at any one time.

An issue may be AppleID 2 factor authentication so be sure to register a trusted backup SMS or voice telephone number for each AppleID so you always have a backup means of getting codes for each AppleID when one may not be signed in on any of your devices so will not have any associated trusted devices (Two-factor authentication for Apple ID - Apple Support).

I will provide some different advice. You will highly likely find that you do need a valid payment form for new Zealand even if you use gift cards. For example, if you create a new Apple ID then Apple may require a valid payment form (e.g. credit card) be present on the account. Also if you make any true purchases involving subscriptions or something actually costing money, they may require a payment form such as a card. This is outlined in hte quoted section from Apple's own documents:

If you can't remove your last payment method or use no payment method with your Apple ID - https://support.apple.com/HT203905

- " if you're using an existing Apple ID with the App Store for the first time, you must provide payment information."

Create or use your Apple ID without a payment method - https://support.apple.com/HT204034

- "You can remove payment methods from your existing Apple ID after you sign in to the App Store, iTunes Store, or Apple Books. You won't be asked for a payment method again until you make a purchase." However, "To make purchases from App Store, iTunes, Music, and more, you must add a valid payment method to your Apple ID" - https://support.apple.com/HT208650 In this cases purchasing means something that costs money. You can download a completely free item without a payment method, but don't forget that bit earlier about using an Apple ID for the first time needing a payment method.

Contrary to what many post here, Apple does not say anywhere that I have found that you must have a payment form from the country to which your Apple ID is set. However, there are stipulations that make it a lot easier if it is because some card companies do not like issuing cards to foreign addresses:

Payment methods that you can use with your Apple ID --> https://support.apple.com/HT202631

E.g. "Make sure that the billing address for your payment method matches the billing address for your Apple ID. In some cases, you might need to call your bank or financial institution to authorize international or online purchases. You might also need to confirm that the mobile number associated with your payment method is correct."

HB212 wrote:

Why you can’t have just one ID-world wide and when it detects your in another country prompt you to use/add a regional ID for that country?

Actually your Apple ID is world-wide but it has to be set to one country at a time. Apple doesn't say why but very likely it is at the behest of media companies with regional distribution, and country tax and international money transfer regulations.

You can try setting up Family Sharing between the IDs if you want to be able to share purchases made with the IDs.

Family Sharing.         

Family Sharing - Set up.       

But that cannot work if the two AppleIDs are in different countries or regions, can it?

I don’t actually use family sharing, but I thought that was a limitation of it from what I’ve read.

HB212 - a lot of the limitations of AppleID have to do with copyright laws, which are different for every country. What is legally accessible in one literally is not legally distributable in another.

You are correct. I forgot about the 2 different countries when I suggested that.