Where to apply for a Schengen visa?

My place of residence My visa application should be submitted to
New Zealand  Embassy of Switzerland in New Zealand (Wellington) 
Cook Island   Embassy of Switzerland in New Zealand (Wellington)
Samoa  Embassy of Switzerland in New Zealand (Wellington)
Tonga  Embassy of Switzerland in New Zealand (Wellington)
Tuvalu  Embassy of Switzerland in New Zealand (Wellington)
Niue  Embassy of Switzerland in New Zealand (Wellington)
American Samoa Embassy of Switzerland in New Zealand (Wellington)
Fiji 

Embassy of Switzerland in New Zealand (Wellington)

Representation agreement

If a State does not have its own visa section in a country or region, the delivery of a Schengen visa can be delegated to another Schengen State member with an agreement between both countries concerned.

The agreement allows the appointed representation to represent and handle Schengen visa applications within its own competence without consulting the other represented State.

Exceptions may apply.  

Country / Region Schengen State represented by Switzerland
New Zealand   Hungary, Liechtenstein
Cook Islands  Liechtenstein 
Niue  Liechtenstein 
Samoa  Liechtenstein
American Samoa  Liechtenstein
Tonga  Liechtenstein 
Fiji Liechtenstein 
Tuvalu Liechtenstein