George Duke wrote on Fri, Aug 8, 2014 11:12 PM UTC:
http://kasparov2014.com/2014/08/07/ilyumzhinovs-proxy-war/.
http://fidefirst.com/.
On the World Chess Federation site, there are occasional references to Chess variants, such as Chinese Chess and this recent one to Fischer Random: http://www.fide.com/component/content/article/4-tournaments/7769-fischer-random-chess-tournament-in-moscow.html.
Kasparov plays Shogi: http://www.chessvariants.org/shogi.dir/kasparov/kasparovshogi.html.
Kasparov's one-time advocacy of Advanced Chess, http://en.wikipedia.org/wiki/Advanced_Chess, was called a terrible idea by GM Seirawan (co-inventor of Seirawan Chess). On Fischer Random, Kasparov has given some consideration to playing widely one position a year: http://en.chessbase.com/post/the-garry-kasparov-interview-part-2. The Chessbase interview has photo of Kasparov and Ilyumzhinov together at Prague in 2002.