  In the present work we are concerned with the existence of normalized
solutions to the following Schr\"odinger-Poisson System $$ \left\{
\begin{array}{ll} -\Delta u + \lambda u + \mu (\ln|\cdot|\ast |u|^{2})u = f(u)
\textrm{ \ in \ } \mathbb{R}^2 , \\ \intR |u(x)|^2 dx = c,\ c> 0 , \end{array}
\right. $$ for $\mu \in \R $ and a nonlinearity $f$ with exponential critical
growth. Here $ \lambda\in \R$ stands as a Lagrange multiplier and it is part of
the unknown. Our main results extend and/or complement some results found in
\cite{Ji} and \cite{[cjj]}.
