They still have modern versions of these machines at arcades in tokyo today, I just used some recently. The photo booth is gamified in the sense that you are timed throughout the process and are given some poses to try and replicate, and you only get two photos (which you choose) digitally, plus a selection of a few for the printed stickers. You can still get digital copies of the rest of the photos online for a fee.

It's pretty fun! The small amount of gamification adds an additional layer of excitement to the photo booth.