Gaming

Ultrakill. Sometimes guys will talk to you, but its rare (only before bossfights), can mostly be ignored, and can be skipped after listening to it the first time.

Tetris

Dead Cells, you can even turn off 'lore' in settings.

Mount and Blade 2: Bannerlord. There is a small background storyline that you can choose to follow, or completely ignore. When I play, I create a story in my head.

Sky Rogue. This is a great arcade game, very replayable.

Return to Castle Wolfenstein? The new Wolfensteins have quite a bit of story, but the old one is all skippable.

Runescape. Open and grind.

I know Axiom Verge has a Speedrun mode that cuts out all the cutscenes, I don't know if that qualifies though, and you do kind of have to know what's going on outside of that. The story itself isn't necessary to enjoy the game though.

Disc room is such a fun game and it has almost no story

I hear ya, I hate when games have too much story. The stories are never any good and usually outright eye-rollingly bad. I particularly hate when they do "..."

Legend of Zelda, the very first one. Yoshi's Island. FIFA.

Victor Vran's not much for story but the game is fun. You can even find a weapon that launches exploding chickens.

w40k Gladius?

I’d have to recommend Untitled Goose Game, Goat Simulator, the Karamari series, and music based (do the thing to the beat) games like Dance Dance Revolution, Taiko Drum Master, Guitar Hero, etc.