I will create the following files for the classic snake game with the specified styling requirements:

1. index.html: The main HTML file containing the structure of the game.
2. style.css: The CSS file containing the styles for the game elements.
3. script.js: The JavaScript file containing the logic for the game.
4. package.json: The package manager dependency definition file.

Now, let's write the code for each file.

[index.html]