Direct dark matter detection experiments will soon be sensitive to neutrinos from astrophysical sources, including the Sun, the atmosphere, and supernova. This sets an important benchmark for these experiments, and opens up a new window in neutrino physics and astrophysics. The detection of these neutrinos will be complementary to accelerator and reactor-based experiments which study neutrinos over the same energy range. Here we review the physics and astrophysics that can be extracted from the detection of these neutrinos, highlighting the potential for identifying new physics in the form of light mediators that arise from kinetic mixing and hidden sectors, and ∼ eV-scale sterile neutrinos. We discuss how the physics reach of these experiments will complement searches for new physics at the LHC and dedicated neutrino experiments.