Personally, for what it's worth, I love games where you neither generate nor are told stories, but rather where you uncover them. Outer Wilds is the best recent example I know of-- the entire game is essentially a detective mystery/archaeology expedition where you have to piece the story of the game together. Similar DNA lives in games like Dark Souls and Myst, where the game lore is predetermined but not necessarily shoved in your face.
I could tell endless stories about the crazy flights I've done in Kerbal Space Program - like that time when I miscalculated Δv in my moon lander and had to plot an emergency intercept on a suborbital trajectory, to let the crew EVA over to the command module before the lander crashed into the moon's surface...
... but nobody cares. I have no one to tell them to. Everyone has their own set of games they play, and the intersection of these sets contains very few games, if any at all.
Half Life 1 is one of the few games that got it right, but does it have imitators? A silent protagonist is something to be ashamed of nowadays.
The new Doom games also have silent protagonists, but unfortunately have some third person cutscenes and are extreme examples of 'cooler than you'.
"Non-games are a class of software on the border between video games and toys. The original term "non-game game" was coined by late Nintendo president Satoru Iwata, who describes it as "a form of entertainment that really doesn't have a winner, or even a real conclusion".[1] Will Wright had previously used the term "software toy" for the same purpose.[2] The main difference between non-games and traditional video games is the lack of structured goals, objectives, and challenges.[3] This allows the player a greater degree of self-expression through freeform play, since they can set up their own goals to achieve."
https://en.wikipedia.org/wiki/Non-game
Will Wright is the designer of Sim City, and he deliberately called his creation this way. I think the above wikipedia distinction is spot on. I don't think the term "non-game" is ideal, but I can't think of any better one that's short. Sandbox, entertainment software, etc. "Sandbox" doesn't capture graphic novels. I think Will Wright also compared Sim City to a ball. You can play a game with a ball, you can invent some rules, but it's not a game by itself.
Speaking of Minecraft, you can make a game within it, or out of it. But it's not a fully fledged, "batteries included" game. Minecraft is very similar to Lego, and if you remove one dimension - even a painting set.
The term "non-game" is somewhat useful for me because I specifically look for games for my active entertainment. I'm annoyed when I have to wade through several quasi-games on a review site to find one proper game. I don't necessarily think games in classical sense are inherently better or more challenging. But if the word "game" ceases to have any meaning on computers, someone will have to come up with a game2 term, which would be silly.