Sodium channels are primarily voltage-gated \- these are the channels responsible for action potentials.
Many other receptors are ligand-gated, and these are typically the signal that causes the initial voltage change that opens the voltage-gated sodium channels; however, these channels are less selective cation channels and are permeable to ions like potassium as well as sodium. Still, their permeability to sodium is quite important and so they may also be thought of as sodium channels sometimes.
These include neurotransmitter gated channels like nicotinic acetylcholine receptors and AMPA (glutamate) receptors, and transient receptor potential channels like the TRPV1 receptor that is sensitive to painful heat and the chemical capsaicin which makes chili peppers "hot."