  Conformal geometry is studied using the unfolded formulation \`a la Vasiliev.
Analyzing the first-order consistency of the unfolded equations, we identify
the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of
$\mathfrak{so}(2,d)$. We sketch the nonlinear structure of the equations and
explain how Weyl invariant densities, which Type-B Weyl anomaly consist of,
could be systematically computed within the unfolded formulation. The unfolded
equation for conformal geometry is also shown to be reduced to various on-shell
gravitational systems by requiring additional algebraic constraints.
