LH also offers upgrade instrument for SEN and HON members IIRC.

That being said, depending on where your destination is, AA or UA has the best program for international upgrade.
AA gives 8 e-VIPs to EXP members while UA gives 6 SUWs to 1Ks.
Personally, I like UA better because my primary destination is Asia, but if you fly often to S America, for example, AA makes whole lot more sense.
The only catch is that you'll have to fly 100,000 miles per year to get those upgrade instruments.