You can transfer amex points to either US or ANA, and then obtain tickets on LH. DO NOT transfer your points to the airline until after you have called them and determined availability - as the transfer is not reversable. You probably should call each, to determine if one has a lower redemption amount than the other. I have used ANA several times to book LH flights, with very good luck. I have not used US yet, as they just joined the Star Alliance. GOOD LUCK!!!