  In a recent reformulation of three-dimensional new massive gravity (NMG), the
field equations of the theory consist of a massive (tensorial) Klein-Gordon
type equation with a curvature-squared source term and a constraint equation.
Using this framework, we present all algebraic type D solutions of NMG with
constant and nonconstant scalar curvatures. For constant scalar curvature, they
include homogeneous anisotropic solutions which encompass both solutions
originating from topologically massive gravity (TMG), Bianchi types II, VIII,
IX, and those of non-TMG origin, Bianchi types VI_{0} and VII_{0} . For a
special relation between the cosmological and mass parameters, \lambda=m^2,
they also include conformally flat solutions, and in particular those being
locally isometric to the previously-known Kaluza-Klein type AdS_2xS^1 or dS_2x
S^1 solutions. For nonconstant scalar curvature, all the solutions are
conformally flat and exist only for \lambda=m^2 . We find two general metrics
which possess at least one Killing vector and comprise all such solutions. We
also discuss some properties of these solutions, delineating among them black
hole type solutions.
