  We survey the sensitivity of past and present neutrino experiments to MeV-GeV
scale dark matter, and find that these experiments possess novel sensitivity
that has not yet fully explored. NO$\nu$A and BEBC are found to rule out the
scalar thermal target for dark matter masses between 10 MeV to 100 MeV with
existing data, while CHARM-II and MINER$\nu$A place somewhat weaker limits.
These limits can be dramatically improved by off-axis searches using the NuMI
beamline and the MicroBooNE, MiniBooNE or ICARUS detectors, and can even begin
to probe the Majorana thermal target. We conclude that past and present
neutrino facilities can search for light dark matter concurrently with their
neutrino program and reach a competitive sensitivity to proposed future
experiments.
