Rogue likes usually have very little story getting in the way. Binding of Isaac, Slay the Spire, Nova Drift, Darkest Dungeon are a few of my top played. I also really enjoy the make your own adventure Creative Survival type games like Minecraft, Astoneer, Terraria, Starbound, Empyrion Galactic Survival etc. City builders, colony sims and Farming Sims are always a good choice too. Some of my favorites are Cities: Skylines, Banished, Timberborn, Forager, The Anno series, Stardew Valley. Then there’s the pure building games. I really enjoy just building stuff and testing my creations out with games like Scrap Mechanic, Instruments of Destruction, Main Assembly, Cosmoteer, Reassembly, Kerbal Space Progam (the first game, Id wait on the second until all the bugs are fixed). Hack and Slash ARPGs are always fun for turning the brain off and most of them dont have a ton of story, save for a few cut scenes here and there. Path of Exile, Torchlight, Diablo 1 and 2 (I don’t like 3 and 4 personally) Grimm Dawn, Cronichon, Fate, Last Epoch are some of my favorites.

Lots of posts here, so maybe you won’t see this, but i think the ___ Simulator games are mindless task-oriented fun (if you enjoy that sort of thing). I have been playing House Flipper lately, which has basic task lists and skippable emails if you don’t care about the job’s context. Clean up trash, paint, build outdoor furniture. There’s just something satisfying about it for me, but it won’t be for everyone. I have heard good things about PowerWash and Gas Station Simulators as well.

Tetris, along with most puzzle games.

It’s seriously hard to beat Tetris.

Factorio. All about letting the factory grow.

I also started playing wizards of legend recently. It takes maybe 20 minutes to get through the tutorial, then it’s just game. I’m enjoying it so far

Elden Ring is apparently good. And the dark souls games as a whole. Almost no story

Vampire Survivors

Deep Rock Galactic

Trackmania. Any of them. TMNF/UF, Trackmania², Trackmania Turbo, Trackmania (2020)

I finally got superhot: mind control delete during the summersale. Very simple but engaging combat mechanic, and story is kept to a minimum

Kenshi is a post-apocalyptic sandbox open-world RPG / base-building game with a bunch of lore but absolutely no plot for you to follow.

Since you didn’t specify a genre I will just recommend, from my most played games which have no explicit story (as in, there probably is some lore or story but you don’t see it unless you watch for it like in Dark Souls), try to see if there is anything you are interested in.

Risk of rain 2, 3d tps roguelike where you stack items until the game breaks, the game gets more difficult each minute you spend on a stage.

Factorio and satisfactory, both are part of the factory building genre, the first one is 2d and the second 3d. I recommend starting with factorio, seriously these are pure crack despite jow unappealing the genre seems at first.

Slay the spire, a deck building roguelike.

Dirt rally 2, it is a single player game but there are leaderboard just in case ypu consider that “multiplayer”.

Crypt of the necrodanncer, rythm roguelike where you move and attack on each beat

Descenders, bike game where you usually go downhill fast.

Minecraft. Cities Skylines. RimWorld. Helldivers.*

*You’re going to need to co-op to have any chance in the mid to late game.

Most roguelikes either have no story or keep it out of the way.

Vampire survivor? 20 Minutes Till Dawn?

Interstellar Pilot 2. It’s admittedly a mobile game, but genuinely the best one I’ve ever played.

TLDR: It’s a sandbox spaceship pilot simulator where the “goals” are to dominate laissez-faire capitalism

Essentially, in the game, you start with one small starship, and travel the universe completing missions, buying and selling goods, and fighting off bandits.

Other games have this premise, but they’re mostly point-and-click games that take place universally in menus. Not so for Interstellar Pilot.

In Interstellar Pilot, the UI really matches the thing that you’re doing. When you’re at a station trading, it’s an ordinary menu, but when you’re in your ship, the UI is much more reminiscent of an actual ship’s dashboard, and you can pilot your ship anywhere you like in the 2.5d space, rather than just clicking buttons. Even in stations, where the UI is more menu-ey, the buttons you can select are on the peripheries of your screen, while the center is occupied by a view of the station and the area around it, as it updates in real-time.

Anyway, once you get enough money you can build up your empire sandbox style, buying ships and having them run automated scripts in the background—and eventually building stations that can let you manufacture goods and military ships to further your plans.

And what are those plans? They can be anything! IP is a sandbox game, so you can make as much money as possible, set up a self-sufficient economy, hunt bandits, or attempt to conquer the galaxy to your heart’s content.

And that’s not even getting into how good and layered the combat is. From light but reliable lasers, to stronger but less accurate plasma pulses, to slugthrower-style guns and guided missile, to ECM’s, which interfere with missile guidance, to mines that deter chasing another ship, to the hexagonal shield system, in which you can only take so many hits from each direction before they start to damage your hull, to the fact that your weapons themselves sometimes take damage randomly, to the space dust and cloaking devices that ships can use to hide and the echolocation mines that can be used to find such ships.

That said, for all the complexity the combat has, it never feels overwhelming. At any point, the player can pause the game at any time, freezing the entire universe, but still allowing the player to manage their stuff in it—activating weapons on ships (that will fire right when the player resumes time), buying and selling goods and ships, giving their ships new orders, etc.

Honestly, the game’s combat is both intuitive and spectacular and rarely gets talked about just because of how simple it feels. It’s also integrated perfectly with the trade and cargo systems. If your ship gets hit without it being blocked by a shield, some cargo might fall out of it, and you’ll have to pull it back in with your tractor beam before your opponent grabs it with theirs. Artillery shells, missiles, mines, and ECM’s have to be stored in your cargo bay, so you have to keep track of how many you have and balance that with how much cargo you’d like to carry.

And the ships are crazy customizable. There’s over a dozen different ship models, each with its own stats for things like maximum speed, turning rate, hull strengh, and weapon turret placement. As for weapon variation, each ship model has a couple of different variations with different turret placements, but that’s just the beginning. At military outpost stations, any weapon can be swapped out into any turret (as long as it’s compatible with the ship model), and ships be upgraded with a variety of other components too (better generators and shields, cloaking devices, passenger modules, etc.)

And for what it’s worth, the art and animation kicks ass. (Admittedly the old IP1 models more than IP2, but the creator (yes, singular) is planning to add custom paint jobs in the future, allowing for even more ship customizability). The space scenery looks stunning and seamless, and the ships all feel unique control-wise.

Anyway, Interstellar Pilot is a phenomenal game, and a (rare) credit to the entire mobile gaming industry. If you’re going to get it, I recommend getting Interstellar Pilot 2, which is the one currently in development (by the way, this entire game was made by one person in their spare time). (I think it’s also on Steam now for PC but it did originally start as a mobile game so I’m still counting it as one)