  In this work, we discuss the Landau's criterion for anisotropic
superfluidity. To this end, we consider a point-like impurity moving in a
uniform Bose-Einstein condensate with either interparticle dipole-dipole
interaction or Raman induced spin-orbit coupling. In both cases, we find that
the Landau critical velocity $v_{\rm c}$ is generally smaller than the sound
velocity in the moving direction. Beyond $v_{\rm c}$, the energy dissipation
rate is explicitly calculated via a perturbation approach. In the plane-wave
phase of a spin-orbit coupled Bose gas, the dissipationless motion is
suppressed by the Raman coupling even in the direction orthogonal to the recoil
momentum. Our predictions can be tested in the experiments with ultracold
atoms.
