This is also known as Chinese Chess game.
The object of this game is to force capture of the enemy Governor/General (King). This may be by checkmate (he is under attack and has no means of escape) or by stalemate (he is not under immediate threat, but there is no legal, safe move). You can easily find the game rules by searching on Google.
Download link for Xiangqi Gameboy Advance
Size: 38 KB
Platform: any GameBoy Advance emulator