There is one called "chess for android" it's the only I've tried TBH.
It's your normal PPC chess game, i.e. varying levels with multiplayer support. It doesn't analyse your games or anything, it's ok for chess on the move.
There are a couple that I haven't tried which play in PGN format, which then allows you to upload to Fritz etc on your PC.
I was thinking about buying an Omnia 2 i920 from verizon wireless but the video quality is poor. I wanted to know if there were many good mobile chess programs for the Motorolla Droid. I know pocket shredder and pocket fritz are compatible with windows mobile what about android operating systems?