As this about miles to a OneWorld airline ffp look and ask here
http://www.flyertalk.com/forum/onewo...help-here.html
As above, AA or BA, is the best choice for you as an USA resident. You probably have an I fare: discounted business.
And Air NZ is about the worst ffp there is.
Edit
Worth looking at Alaska due to its many partner airlines, including CX
http://www.alaskaair.com/content/mil...ePlan-partners
Earning on Cathay Pacific
business Class Cabin: Earn actual flight miles* flown in J, C, D, or I classes of service, plus 25% Bonus Miles.