We review the status of three-dimensional "general massive gravity" (GMG) in its linearization about an anti-de Sitter (adS) vacuum, focusing on critical points in parameter space that yield generalizations of "chiral gravity". We then show how these results extend to 1 super-GMG, expanded about a supersymmetric adS vacuum, and also to the most general 'curvature-squared' 1 supergravity model. Published under licence by IOP Publishing Ltd.