If you spend a lot (coins?) and just want free trips, the Asiana Amex, though not affiliated with a OneWorld carrier, offers 2 miles/$. There's a $99 annual fee, and you only get 5000 miles when you sign up, but Asiana has some fantastic award possibilities. For 80,000 miles one can get a business class award of up to 10,000 flown miles. That's enough to get from the northeast US to Europe and stop in 4 or 5 cities. Two stopovers are allowed in each direction.