Sometimes CX has 3-class service HKG-DPS (some days/flights, I think the 3 class flights go on from DPS to elsewhere). The 744 nonstop service HKG-NRT has a special F service which is worth seeking out (the 744 that go HKG-TPE-NRT do not!).
AA operates ORD-ANC as well as DFW-ANC and STL-ANC in the summer and it is a great flight (magnificent scenery) but using 757 so not the most comfortable on AA.
I think the international departure rule effectively eliminates most carribean travel on RTW originating in US/Canada (which are considered as one country but Caribbean is not). I suppose the rule bears exploring but I think it won't be fruitful.