World Chess Championship is a chess game for Android that lets you play against opponents from all over the world. You can only play against HUMAN opponents, though, since the game doesn't offer any kind of computer-based opponent.
To begin a game, it's as simple as pushing the 'Start' button and waiting a few seconds until an opponent shows up. As soon as the game begins, you can start showing off your chess knowledge and strategy skills. The game randomly decides who plays with the white pieces and who plays with the black ones.
During the game, you can change the graphics at any time. You have two different visual modes: a cute one in 3D, and a much more simple and elegant one in 2D. Plus, you can chat with your opponent during the game (remember to always be respectful).
World Chess Championship is a pretty good chess game app. The main issue is that you can't play it offline. That being said, it's a very good option if you want to play online.