Originally Posted by Viajero
With a few changes, something along these lines, it should work, but note that if you wish to include Australia it _must_ be a AONE4.
DFW-LAX-HKG-PEK-HKG-MEL-SYD-LHR-DUB-CDG-LHR-DFW
You can probably also do
SYD-FRA-DUB, if you wanted to avoid transit in LHR, but the flight schedule and connections probably aren't as good via FRA.