  Discrete Painlev\'e equations are nonlinear, nonautonomous difference
equations of second-order. They have coefficients that are explicit functions
of the independent variable $n$ and there are three different types of
equations according to whether the coefficient functions are linear,
exponential or elliptic functions of $n$. In this paper, we focus on the
elliptic type and give a review of the construction of such equations on the
$E_8$ lattice. The first such construction was given by Sakai
\cite{SakaiH2001:MR1882403}. We focus on recent developments giving rise to
more examples of elliptic discrete Painlev\'e equations.
