The exchange of spin-0 or spin-1 bosons between fermions or spin-polarized macroscopic objects gives rise to various spin-dependent potentials. We derive the coordinate-space nonrelativistic potentials induced by the exchange of such bosons, including contact terms that can play an important role in atomic-scale phenomena, and correct for errors and omissions in the literature. We summarize the properties of the potentials and their relevance for various types of experiments. These potentials underpin the interpretation of experiments that search for new bosons, including spectroscopy, torsion-pendulum measurements, magnetometry, parity nonconservation, and electric dipole moment experiments.