  We study unbinding transitions of a non-equilibrium Kardar-Parisi-Zhang (KPZ)
interface in the presence of long-ranged substrates. Both attractive and
repulsive substrates, as well as positive and negative Kardar-Parisi-Zhang
nonlinearities, are considered, leading to four different physical situations.
A detailed comparison with equilibrium wetting transitions as well as with
non-equilibrium unbinding transitions in systems with short-ranged forces is
presented, yielding a comprehensive picture of unbinding transitions, and of
their classification into universality classes. These non-equilibrium
transitions may play a crucial role in the dynamics of wetting or growth of
systems with intrinsic anisotropies.
