Which class would you like to travel in?
I'm off to NZ next March, which will be on Qatar Airways.
I'll be flying Milan-Doha-Kuala Lumpur; then back Wellington-Sydney (on Qantas), then on to Doha and finally to Stockholm. All booked through a travel agent in business class in a big sale, that worked out at about £1,900.
Currently a straightforward Stockholm-Auckland return is about £2,000 for my dates with the sale that just launched. EDI-LHR-HKG-AKL is currently just over £3k on Cathay or EDI-DOH-AKL is a little more on Qatar.
In business class, I'd rate both of those more highly than BA; in economy, I'd say it's fairly similar though I do think the A380 is the best BA economy product.
I've never flown Emirates, but if you are planning to credit to BA, you need to make sure the flights are booked as a Qantas codeshare.