  We give an overview of the different non-Lorentzian supergravity theories in
diverse dimensions that have been constructed in recent years. After giving a
detailed discussion of non-Lorentzian geometries as compared to Lorentzian
geometries, we outline some of the construction methods that have been applied
to obtain non-Lorentzian supergravity. Explicit results are given for
non-Lorentzian supergravity theories in three and ten dimensions.
