There is a chess game for Kindle WiFi marketed by Amazon here:
http://www.amazon.com/Chess/dp/B004K...9552866&sr=1-1
It has 10 levels. I am rated 1350 in online chess and I lose all the time at Level 4 and win some of the time on Level 3.
Plus, it saves boards and time clocks when one goes back to the main menu and can be continued at a future time.
I use it every day after I do my ebook reading.