A game somewhat similar to 'noughts and crosses' on a much larger space.
This game is known as Pong hau k'i in China and Ou-moul-ko-no in Korea. Find a friend to play or try the interactive version online.
This Chinese game for two players is a simple version of Wei ch'i or Go. Each player has 20 distinctive pieces - try coins, pebbles, shells. You could try marking the board out in wet sand.