Try to stick with CX F, QF A380 F, BA F and finally AA F. The first two are stellar.
KRT-AMM-LHR-IAD-DFW-ANC-DFW-YVR-(CX F)-JFK-(CX F)-HKG-(CX F)-DPS-(CX F)-HKG-(QF A380 F Thu-Sun)-SYD-(QF A380 F)-LHR-AMM-KRT.
That's 9 x 2000+ mile F segments.
Are you actually planning on doing some fun activities during your travel? If so drop the DFW between ANC and YVR and do an open jaw and book a 7-day cruise from ANC to YVR. If you enjoy fishing there is some great halibut and salmon fishing up in Alaska. Denali National Park and Mt McKinley are also a nice 2-3 day trip by train out of Anchorage. The Asiago crusted Halibut Cheeks at Simon and Seafort's in Anchorage is a must IMO.