\documentclass{beamer}
\usepackage[T1]{fontenc}
\usepackage[skaknew]{chessboard, skak}
\begin{document}

\begin{frame}
\newgame
\only<1->{\setchessboard{hideall,showmover=false}}
\only<2->{\setchessboard{showpieces={p,P}}}
\only<3->{\setchessboard{showpieces={K,k}}}
\only<4->{\setchessboard{showpieces={Q,q}}}
\only<5->{\setchessboard{showpieces={R,r}}}
\only<6->{\setchessboard{showpieces={B,b}}}
\only<7->{\setchessboard{showpieces={N,n}}}
\chessboard
\end{frame}

\begin{frame}
\newgame\setchessboard{markstyle=border,color=blue}
\only<1>{\mainline{1.e4}}
\only<1>{\setchessboard{markfields=e4}}
\only<2>{\hidemoves{1.e4}\mainline{1... e5}}
\only<2>{\setchessboard{markfields=e5}}
\only<3>{\hidemoves{1.e4 e5}\mainline{2. Nf3}}
\only<3>{\setchessboard{markfields=f3}}
\only<4>{\hidemoves{1.e4 e5 2.Nf3}\mainline{2... Nc6}}
\only<4>{\setchessboard{markfields=c6}}

\chessboard
\end{frame}
\end{document}