  We derive effective actions for parity-violating fluids in both $(3+1)$ and
$(2+1)$ dimensions, including those with anomalies. As a corollary we confirm
the most general constitutive relations for such systems derived previously
using other methods. We discuss in detail connections between parity-odd
transport and underlying discrete symmetries. In (3+1) dimensions we elucidate
connections between anomalous transport coefficients and global anomalies, and
clarify a previous puzzle concerning transports and local gravitational
anomalies.
