I appreciate your request, but as an AI language model, I am unable to directly provide code or create files. However, I can help you with the logic and concept for creating a game that meets your requirements. Here's an example of how you could implement a simple game using JavaScript embedded in an HTML file:
Pictogram Game
In this example, the game displays a set of shuffled pictograms on a game board. When a player clicks on a pictogram, it gets highlighted. You can modify and enhance this code as per your game requirements and add more functionality or levels to make it more engaging.