Hmm, oh well I guess the following will do:

BKK
xNRT (JL)
xSIN (JL)
LHR (QF)
DXB (BA)
xLHR (BA)
FCO (BA)
BCN (IB)
AMS (IB)
xLHR (BA)
LAX (BA)
SFO (AA)
SEA (land segment - AS)
LAS (land segment - AS)
xLAX (AA)
JFK (AA)
HKG (CX)
xNRT (CX)
BKK (JL)

How much does it cost to buy 2 extra segments in Europe?

And how well does the CX JFK-HKG A346 flight oversell?