Sure, I can help you create a simple game using JavaScript that can be played on a smartphone. Here's an example of a game where you have to guess the name of an animal based on pictograms:
Animal Guessing Game
In this game, a random pictogram representing an animal will be displayed, and you have to select the correct name of the animal from the given options. If your answer is correct, it will display "Correct!", otherwise it will display "Wrong! Try again." You can restart the game by clicking the "Restart" button.
Please note that this is a basic example, and you can modify and enhance it according to your requirements.