lichess is a chess game for Android. Play a quick match against hundreds of thousands of users from all over the world, right from the comfort of your Android smartphone. In addition, you can choose if you want to play by correspondence (that is, making moves from time to time: no rush, no pressure), or prefer to play with a timer (after time's up, you lose). In all you'll find more than half a dozen different ways to play chess.
Although ideally you'll be playing against any of the thousands of users who are always on lichess, you can also practice against the AI. This is especially useful when you don't have an Internet connection. Choose from several AI difficulty levels so you can improve your strategy bit by bit.
lichess is one of the best chess apps for Android. Its huge community is almost always available for a good game. And if it's not, you can always play against the AI in any of its various game modes.