Another suggestion for US->AU/NZ. If you book all-SQ metal you should be work in at least one stopover along the way. You could do LAX-NRT (stopover)-SIN (long connection)-SYD.
You can also mix *A partners albeit at higher rates. With the SQ deval the rates aren't hugely different anymore. I recently booked AKL-SYD-SIN-NRT-SFO on NZ J/SQ Suites/SQ F/NH F with a 17 hour connection in SIN and 23:55 in Tokyo.