  We study multi-valley electron gases in the low density ($r_s \gg 1$) limit.
Here the ground-state is always a Wigner crystal (WC), with additional
pseudo-spin order where the pseudo-spins are related to valley occupancies.
Depending on the symmetries of the host semiconductor and the values of the
parameters such as the anisotropy of the effective mass tensors, we find a
striped or chiral pseudo-spin antiferromagnet, or a time-reversal symmetry
breaking orbital loop-current ordered pseudo-spin ferromagnet. Our theory
applies to the recently-discovered WC states in AlAs and in mono and bilayer
transition metal dichalcogenides. We identify a set of interesting electronic
liquid crystalline phases that could arise by continuous quantum melting of
such WCs.
