Originally Posted by spotwelder
Alternatively you could go up to NRT and across on AA from there but whatever you do, you will have to buy the extra ticket to avoid Route Rule 2, IMHO.
You could also start your journey by getting a cheap ticket out of LAX to PHX or SFO, and starting your RTW there. That would keep the rest of your trip route intact, except for the double transcontinental. You'll still need to break that up into two segments.