Originally Posted by
1Aturnleft
I think LAX-HNL is as far as you'd get on a BA codeshare these days. Not sure but weren't QF codesharing LAX-AKL and LAX-SYD/MEL at some stage? Also weren't FJ about to commence a codeshare LAX-NAN?
Of course, to book the LAX-HNL codeshare you would need a transatlantic segment to connect with. It seems the OP is trying to find BA flight numbers for the annual four eligible flights requirement.