airberlin is a oneworld airline, partner of American and British Airways, that’s largely controlled by UAE-based Etihad.
They have a great business class product for long haul travel, and they do not add fuel surcharges to their fares. That means when redeeming miles, even British Airways miles for travel across the Atlantic, there are no fuel surcharges.
airberlin award space isn’t searchable at aa.com. You can search for it on the British Airways website and the Qantas frequent flyer site, then call American if using AAdvantage miles.