Join Date: Oct 2005
Location: United Arab Emirates & Arizona, USA
Programs: UA MM/1P, EK Ag, Marriott Life Ti, Hilton Dia, IC Dia, Hyatt Glob, Accor Pt
Posts: 4,719
I have the Emirates NBD card, which dumps a few tier miles in my account every month. Seems like it's for spend on Emirates tickets. I can never exactly reconcile the amount -- probably given for the base fare (no taxes, etc.) but I never bothered to look closely.
It used to be possible the get the card even if one wasn't a UAE resident, but I don't think that's an option anymore.
It's conceivable that there are other card options but probably not convenient for the OP. Look like a trans-Tasman tier run might be your best option.