Realistically speaking, these Asian destinations are high in demand and will be even higher in the years to come:

Seoul-Incheon
Tokyo NRT and HAN
Osaka
PEK
PUD
HKG
Possibly another chinese city like Guangzhou
BKK
SIN
KUL
CGK (Indonesia is a rapidly-expanding economy)
DEL
BOM

Plus SYD and at least DBX in the ME.

While OW is pretty strong in many of these cities through BA, CX, JL, QF I don't see why AA shouldn't tap the growth potential as other competitors are doing (See DL and UA). Continental, for instance, mantains a hub in Guam, and Delta has now a hub (!) in Tokyo!

Also, any idea why AA shut down their Asian operations from San Jose?