The new release of Chess for Android gives a choice in board style and chess piece sets (others may be added later). To change, press the menu button, which will give you the following screen.
Then, select "Options", which will show you the following choices.
To switch from a wooden board to a more classic board, de-select the "Wooden Board" button. The piece set can be changed similarly. After this, the chess board has a completely different appearance, as illustrated below.
Checkers for Android supports the same choice in board styles.