Wirelessly posted (BlackBerry: BlackBerry8530/5.0.0.1030 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
It looks like UA miles can be redeemed to MFM on Star Alliance member EVA for LAX-TPE-MFM, if you can find availability.
If you are considering transferring Starwood points to AA to redeem for Business Class on CX, note that Starwood transfers to AAdvantage are not instantaneous.