  A conformal transformation of a semi-Riemannian manifold is essential if
there is no conformally equivalent metric for which it is an isometry. For
Riemannian manifolds the existence of an essential conformal transformation
forces the manifold to be conformally flat. This is false for pseudo-Riemannian
manifolds, however compact examples of conformally curved manifolds with
essential conformal transformation are scarce. Here we give examples of compact
conformal manifolds in signature $(4n+2k,4n+2\ell)$ with essential conformal
transformations that are locally conformally pseudo-K\"{a}hler and not
conformally flat, where $n\ge 1$, $k, \ell \ge 0$.The corresponding local
pseudo-K\"ahler metrics obtained by a local conformal rescaling are Ricci flat.
