  We construct supersymmetric solutions of three dimensional N = (1,1) General
Massive Supergravity (GMG). Solutions with a null Killing vector are in general
pp-waves. We identify those that appear at critical points of the model some of
which do not exist in N = (1,1) New Massive Supergravity (NMG). In the timelike
case, we find that many solutions are common with NMG but there is a new class
that is genuine to GMG, two members of which are stationary Lifshitz and
timelike squashed AdS spacetimes. We also show that in addition to the fully
supersymmetric AdS vacuum, there is a second AdS background with a non-zero
vector field that preserves 1/4 supersymmetry.
