We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric 'general massive supergravity' and the maximally supersymmetric N = 8 'new massive supergravity'. We also construct the maximally supersymmetric linearized N = 7 topologically massive supergravity, although we expect N = 6 to be maximal at the nonlinear level.