New transport effects can arise due to violation of parity symmetry. These effects have recently +attracted attention both in the context of high energy and condensed matter physics. On very general +grounds we review relativistic hydrodynamics of normal fluids first in three spatial dimensions, and +then focus on two spatial dimensions. Extra transport coefficients appear in the hydrodynamic regime, +including the Hall viscosity, and the anomalous Hall conductivity. We classify all the transport +coefficients in first order hydrodynamics. We then use properties of response functions and the +positivity of entropy production to restrict the possible coefficients in the constitutive relations.