As a language model AI, I can provide you with an example of a simple game using JavaScript and HTML that can be played as a finished game on a smartphone. Here's a basic implementation of a game using pictograms:
This code will create a simple memory matching game using pictograms (represented by emoji symbols in this case). The goal is to flip over two cards at a time, attempting to match pairs. The game will finish when all pairs have been matched.
Please note that the pictograms used in the example may not render properly on all devices, so you might want to select matching symbols that work better across different platforms. Additionally, you can style the game further to suit your preferences.