For "Chess for Android" have a look here: http://www.aartbik.com/MISC/uchess.html
It looks nice and you can run every UCI-engine compiled for Android and use table bases (Nalimov) from SD-card!
ChessTiger is a very good App and I am happy with it (see also my german write-up at the App Store)! These are my suggestions for some little improvements: - iPad-Version - score should be +: white is better and -: black is better - show book moves - show "Mode" instead of "Rules" (or just if "show ...