The code below is modified from https://tex.stackexchange.com/a/96304/. It shows a block in a minipage in a tikzpicture. The tikzpicture defines coordinates (north east, south west etc.) that can be used to draw a cross.
The anchors are a bit off at the top (the north anchor is higher than the upper part of the block), so you can lower those coordinates with the calc tikzlibrary and the ($(coord1)+(coord2)$) syntax.
Finally a new command is defined to add other blocks easily without needing to add the tikzpicture manually every time.
\documentclass{beamer}
\usepackage{tikz}
\usetheme{Frankfurt}
\usetikzlibrary{calc}
\begin{document}
\newcommand{\crossblock}[2]{%
\begin{tikzpicture}
\node (n1) {%
\begin{minipage}{\textwidth}
\begin{block}{#1}%
#2
\end{block}%
\end{minipage}
};
\draw[red,ultra thick] (n1.south west) -- ($(n1.north east)-(0pt,10pt)$);
\draw[red,ultra thick] ($(n1.north west)-(0pt,10pt)$) -- (n1.south east);
\end{tikzpicture}
}
\begin{frame}
\crossblock{Block title}{Block text\par another line\par third line}
\crossblock{Second title}{Second contents\par next line}
\end{frame}
\end{document}
