Welcome to forum
Where are you based and what is your USA destination?
Emirates is long diversion from the Aust east coast. Cathay less so
Emirates do not have premium economy
Are you a member of any freq flyer program ?
We are based in Perth our destination is Los Angeles and we would be departing from either Washington or New York. We are members of Qantas freq flyer
As a member of Qantas Frequent Flyer, do you have any status (ie Silver, Gold, Platinum) or are you Bronze?
Cathay Pacific would work well for you. This will allow you to fly from Perth - Hong Kong - Los Angeles with a single (short) stopover. The best return leg with Cathay would be New York - Hong Kong - Perth. The J product in Cathay is very good, so you won't be disappointed. Plus you will have access to the excellent Cathay lounges in Hong Kong.
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JAL could be another option too, via NRT.