It’s clear that there’s an expectation for digital games. That’s what this site caters to, after all. But, reading the rules, there’s nothing that explicitly prohibits analog games, that don’t depend on any sort of digital engine. Games such as classic choose-your-own-adventure books, print-and-play board games, or games that make use of pre-existing components like cards and dice.
One rule that I could see disqualifying such a game would be Rule S-2: “All entries must be public and free to play to be eligible.” Needing to print out the game would presumably violate that, since not everyone has access to free printing. What about an ordinary deck of playing cards, or ordinary dice? Both of those can be simulated using random.org., even if you’d lose points for being unwieldy. What about pen and paper for notes and keeping track of stats? People will presumably have those available, but it’s still not technically free.
It may not be a good idea, regardless. But it still seems worth clarifying.