Sure! Here's an example of a simple game called "Creature Creator" that meets your requirements:
To play the game, simply open the HTML file in a web browser on your smartphone. It will prompt you with questions and options for each category. After answering all the questions, it will display the chosen characteristics of your creature.
Note: The prompt function may not work properly on all mobile browsers, as some may have limitations on displaying modals. In that case, you can modify the game to use HTML forms or custom UI elements instead of prompts.