A Payment processing profile that can be used in USA, New Zealand and Australia

There are many Payment Processing Profiles that can be used in NetSuite and support your mentioned countries: USA, Australia, and New Zealand. 

For example:

• Cybersource
  • Payment platform and fraud management | Cybersource
• Merchant e-Solutions
  • MerchantE
• Adyen
  • Adyen | The platform to help your business grow
• Worldpay
  • Payment Processing | Worldpay from FIS

There may be also some pricing issues for the third party profiles. So this need to be checked.