Fitting flights with all the Europe/Middle Eastern airlines will be tricky
- by 2024 there will be 7 of them (BA, AY, IB, AT, QR, RJ, WY)
- max of 4 flights allowed in the continent
- so 3 required elsewhere - either inter-continental or 5th freedom flights somewhere
- QR I think has ADL-AKL in the South-West Pacific
- and I think QR and RJ have some 5th freedom flights in Asia, but you might need to use the allowed 4 intra-Asia flights for the 4 Asian airlines (CX, JL, MH, UL)
Have fun planning your trip. And let us know if you manage it.
Side note: this year I will fly AT (Royal Air Maroc) which will complete the full set of OW airlines for me