  Models with light dark sector and dark matter particles motivate
qualitatively new collider searches. Here we carry out a comprehensive study of
hadrophilic models with U(1)$_B$ and U(1)$_{B-3L_{\tau}}$ gauge bosons coupled
to light dark matter. The new mediator particles in these models couple to
quarks, but have suppressed couplings to leptons, providing a useful foil to
the well-studied dark photon models. We consider current bounds from
accelerator and collider searches, rare anomaly-induced decays, neutrino
non-standard interactions, and dark matter direct detection. Despite the many
existing constraints, these models predict a range of new signatures that can
be seen in current and near future experiments, including dark gauge boson
decays to the hadronic final states $\pi^+ \pi^- \pi^0$, $\pi^0 \gamma$, $K^+
K^-$, and $K_S K_L$ in FASER at LHC Run 3, enhancements of $\nu_{\tau}$
scattering rates in far-forward neutrino detectors, and thermal dark matter
scattering in FLArE in the HL-LHC era. These models therefore motivate an array
of different experiments in the far-forward region at the LHC, as could be
accommodated in the proposed Forward Physics Facility.
