As an AI language model, I can assist you in providing a sample code for a simple game that meets your requirements. However, please note that creating a fully functional game within the constraints of a single HTML file might be challenging. Here's a basic example of a game implemented within an HTML file using JavaScript:
Simple Game
In this example, a simple game is created where a red circle is displayed on a canvas. The objective is to touch the circle on a smartphone screen. If successful, an alert message is shown. The game continuously updates to provide animation.
Please note that this is just a basic example to demonstrate the structure and functionality of a simple game implemented in a single HTML file using JavaScript. Adding more complex game logic, levels, and graphics will require additional code and resources.