  Lattice Wigner crystal states stabilized by long-range Coulomb interactions
have recently been realized in two-dimensional moir\'e materials. We employ
large-scale unrestricted Hartree-Fock techniques to unveil the magnetic phase
diagrams of honeycomb lattice Wigner crystals. For the three lattice filling
factors with the largest charge gaps, n = 2/3, 1/2, 1/3, the magnetic phase
diagrams contain multiple phases, including ones with non-collinear and
non-coplanar spin arrangements. We discuss magnetization evolution with
external magnetic field, which has potential as an experimental signature of
exotic spin states. Our theoretical results could potentially be validated in
moir\'e materials formed from group VI transition metal dichalcogenide twisted
homobilayers.
