CO used to operate a mix of DC10/747 aircraft into Australia. Routings often changed, but usually SYD-HNL-SFO DC10, MEL-AKL-HNL-LAX 747. Then there was SYD-BNE-GUM DC10, then SYD-GUM DC10 (both services died quickly). The current twice weekly CNS-GUM 738 flight merely carries Japanese pax beyond GUM. When transpacific services ended, CO management publically admitted the only way to make money on AUS-USA was daily nonstop LAX/SFO services with high revenue business class passengers on 747-400's which they didn't have. Couldn't compete operating via HNL.
NW served AUS for about 3 years after buying the route from HA. "Interesting schedule":
SYD-LAX 747-400 3 times/week. Insufficient number of aircraft to operate daily.
SYD-HNL-LAX DC10 3 times/week
SYD-HNL-LAX 747-200 once/week
SYD-Osaka-JFK. Later switched to DTW. 747-100 3 times/week. Aircraft actually sat on the ground for 2 days in SYD before returning. Flight ran into political problems concerning carrying Japanese pax to SYD and the route was discontinued.
HA: 1 flight/week SYD-Pago Pago-HNL. DC8. Didn't take the route seriously.
AA: 3 or 4 flights/week SYD-HNL-DFW. DC10. Service lasted about 2 years. Uneconomical.
Considering the Australian dollar at present, there is no way any US carrier will add any services down under. When Continental pulled out, there was wide speculation that Delta would take over the SYD-HNL-USA route to which DL responded, "why would we fly a route that loses $1 million per month?"