I believe some Airbus planes transfer fuel between port and starboard to balance. Probably nothing to balance fore and aft.
Recently I learned that part of modern aircraft design inefficiency is due to the horizontal stabilizer being angled to force the nose up slightly. This is to make the plane inherently stable, but increases drag.
Lack of an angled horizontal stabilizer is one of the ways a flying wing achieves greater efficiency. I hope to see the day when aircraft are fundamentally redesigned.
