Other fonts
Package mathabx
\documentclass{article}
\usepackage{mathabx}
\begin{document}
\centering
$\bigtimes_{i=1}^n A_i$
\[ \bigtimes_{i=1}^n A_i \]
\end{document}

Packages txfonts/pxfonts
\documentclass{article}
\usepackage{txfonts}
\begin{document}
\centering
$\varprod_{i=1}^n A_i$
\[ \varprod_{i=1}^n A_i \]
\end{document}

Package MnSymbol
\documentclass{article}
\usepackage{MnSymbol}
\begin{document}
\centering
$\bigtimes_{i=1}^n A_i$
\[ \bigtimes_{i=1}^n A_i \]
\end{document}

Import math characters
The packages listed in the previous section also change other math symbols.
But it is also possible to use math symbols of other fonts by defining
math alphabets. However, keep in mind that the number of math alphabets is a limited resource.
\varprod of kpfonts
\documentclass{book}
% Use \varprod of package kpfonts
\DeclareSymbolFont{KPlargesymbolsA}{U}{jkpexa}{m}{n}
\SetSymbolFont{KPlargesymbolsA}{bold}{U}{jkpexa}{bx}{n}
\DeclareMathSymbol{\varprod}{\mathop}{KPlargesymbolsA}{16}
\begin{document}
\centering
$\varprod_{i=1}^n A_i$
\[\varprod_{i=1}^n A_i\]
\end{document}
