As an AI language model, I can certainly help you create a simple game using JavaScript and HTML. Here's an example of a game called "Guess the Pictogram". It is a web-based game that can be played on a smartphone. The game presents pictograms, and the player needs to guess the corresponding word within a given time.
To use this game, simply copy the entire code and save it as an HTML file (e.g., "guess_pictogram.html"). You can then open the file in a web browser on your smartphone and play the game. Each time you enter a correct guess, your score will increase by one. Good luck!