  We discuss various aspects of anisotropic gravity in $(d+D)$-dimensional
spacetime where $D$-dimensions are treated as extra dimensions. It is based on
a foliation preserving diffeomorphism(FPD) invariance and an anisotropic
conformal invariance. The anisotropy is embodied by introducing a factor $z$
which characterizes the scaling degree of the extra $D$-dimensions against the
$d$-dimensional base spacetime. There is no intrinsic scale in our model but a
physical scale $M_*$ emerges as a consequence of spontaneous conformal symmetry
breaking of Weyl scalar field which mediates the anisotropic scaling symmetry.
Some vacuum solutions are obtained and we discuss an issue of `size separation'
between the base spacetime and the extra dimensions. The size separation means
large hierarchy between the scales appearing in the base spacetime and the
extra dimensions respectively. We also discuss interesting theories obtained
from our model. In a $(d,D)=(2,2)$ case, we suggest a UV-complete quantum
gravity which might become Einstein-Hilbert theory in IR. In the case of (4,1),
we propose a resolution of hierarchy problem and discuss comparison with
brane-world model's results. In a certain (2,1) case, we obtain CGHS-model.
