We recently had a question "Are There Any Board Games That Involve Both Memory And Luck?" (now deleted) The body of the question described a hypothetical game, with a series of luck-based events which can be bypassed later by remembering the earlier outcome, then asked if there were any games like it.
I believe we've had a few similar questions in the past, as well, though I don't remember clearly enough to quickly search for them.
Note that game recommendation questions are off-topic, because they invite open-ended lists of games, as well as opinions.
Game identification questions, however, are on-topic, provided they include sufficient information, because they in principle have one correct answer.
Where do these "does X exist?" questions fit in? On- or off-topic?