Sure, here's a simple make-up game implemented as a single HTML file with JavaScript:
In this game, there are three make-up icons: lipstick, eyeshadow, and blush. The player can touch the icons on the canvas (assuming smartphone operation), and an alert will pop up indicating which make-up item has been applied. The icons are represented by pictograms (💄, 👁️, 🍅).
Note: This is a basic example for demonstration purposes only. You can enhance it by adding more features, graphics, and logic as per your requirements.