  The linearized equations of `New Massive Gravity' propagate a parity doublet
of massive spin-2 modes in 3D Minkowski spacetime, but a different non-linear
extension is made possible by `third-way' consistency. There is a
`Chern-Simons-like' action, as for other 3D massive gravity models, but the new
theory is `exotic': its action is parity odd. This `Exotic Massive Gravity' is
the next-to-simplest case in an infinite sequence of third-way consistent 3D
gravity theories, the simplest being the `Minimal Massive Gravity' alternative
to `Topologically Massive Gravity'.
