The Airbus 330 has a turbulence damping function:
The purpose of the turbulence damping function is to damp the structural modes induced by atmosphere turbulence. The function uses the Nz accelerometer and two dedicated Ny accelerometers. The PRIMs compute a turbulence damping command, which is added to the normal law command for the elevator and the yaw damper.
I expect the A340 and A380 have it too.