Asklemmy

Try 'A dark room'. It's a bit different, but it had depth and your can get into it. I also still love 'Plague inc.'.

• Another vote for "Slay the Spire", have bought it for all platforms and wasted too much of my time
• Horizon Chase Turbo is a very good arcade racer
• Danmaku Unlimited 2 and Danmaku Unlimited 3 for bullet hell shmups

Not arcade style, but Final Fantasy I-VI pixel remasters are IMHO great on phones.

My favorite mobile games are

Don't starve

Dead Cells

Emulating old RPG games through Delta or Lemuroid

Puzzler / slight programming vibe: BaBa is you

I just want to kill some time

Pokemon sleep and take a nap

Super auto pets is incredibly based

I Love Hue, both 1 and 2

Dunno if anyone mentioned Badland yet.

Looks difficult to play but is so well designed that it isn't

Peglin is super fun. It's wood-described as a peggle rouglike

Fancade is also great. It's an open engine for little arcade games, so there's always something new to play. There's different modes like an adventure mode and a battle mode. There are IAP's but they're purely optional and very unnecessary.

All games I'm going to mention aren't sending me any notifications.

Square on top is a bit like jump king, and let's you disable 'unwanted' Ads. You're still able to watch ads for your own gain, but dont have to.

Divineko is a fun shape drawing/reaction game that has very fair ad placements IMO.

Xeonjia is an ice puzzle game (you walk in one direction until you hit a rock) that reminds me a bit of Pokémon with its art style. I dont think it has any ads.

Those three are my go to's currently.

Twenty is my go-to. Blockus clones are fun too, and there are a lot of game modes.

This Ars article turned me on to it. Maybe click through some of his other suggestions-

https://arstechnica.com/gaming/2015/05/why-twenty-is-my-latest-mobile-gaming-obsession/

Ignoring the arcade style preference: i like Cats are Liquid: A Better Place and Cats are Liquid: a Light in the Shadows

They are 2 platformers with abstract graphics, abilities and a sad(extremly confusing) story

Download TIC-80 is a fantasy console that also has an android app.

Inside it you'll have access to tons of games made for that console.

I've been some weeks playing "Shadow over the twelve lands" on android TIC-80 and it has been a great experience.

It's all open source too!

You could get some minigame type games from fdroid. I have a tetris game and a 2048 game from fdroid. There's also Super Tux Kart if you want something 3D

Sky Wings is pretty fun. It's super arcadey, has different ships with different abilities and shooting styles, different modes and difficulties. I've put in quite a few hours over the years.

The Flow Free puzzle games are pretty fun imo. I have most of the different ones installed on my phone, and some years back I actually bought a bunch of the expansions for the base version so I have a ton of puzzles to go through.

Honor of Kings is pretty good. Just ignore all the contests. You always start at the same ability as everyone else.

Card crawl

Everyone in here sleeping on pocket city 1 and 2. 1 is free w/ads or 2.99 and 2 is 4.99

AAAAXY is an incredibly trippy puzzle platformer available on F-Droid.

Balloon Fight is hilarious and a stomper

I got really hooked on Armory and Machine, there is an A&M2 but I've never played it.

Its the kind of game that only has a mobile version, it rewards you for coming back to it like any bad mobile game, but there are no ads, nothing to buy, and I don't think there is any data shared.

The premis is you are work on a machine, making it faster, better stronger, more automated, and more able to produce things. Things can be in turn, turned into items that let you travel and fight critters. The loot from the critters can be used to make your machine faster. Its all a vicious factorio-like loop, and show how fun these mobile mechanics can be when there is no company taking advantage of you.

Hill Clim Racer has been a long time favorite. Still works great in airplane mode and well.

Lapse and Lapse 2 - clones of the Reigns game

Plague inc

Tyrian. 90's scrolling shooter ported over and mostly functional.

Shattered Pixel Dungeon Loop Hero Pirates Outlaws

I install a few others every now and again to try new things, but it's usually ad-driven / endless predatory MTX bullshit.

Lichess :P

Other's have suggested emulating Pokémon. However, if you want a native RPG, the first six Final Fantasy games were remastered for mobile. That's five whole good games! They all have very frequent auto saving, so they're pretty easy to just pick up and put down.

These aren't arcade-y, though. Others have already suggested the best. I like Super Hexagon the most of the suggestions due to its simplicity. Geometry Dash is also great, but sometimes, it just isn't sightreadable.

I've been playing Shattered Pixel Dungeon, which is an actual roguelike game.

Egg Inc is angrowth game that's silly and fun. Squad Alpha is a great casual shooter, and all ads are voluntary. (Note, this is NOT Alpha Squad.)

Jetski.

I’m on iOS and actually pay for Apple Arcade. It’s been worth it. I don’t bother looking anywhere else for mobile games anymore.

https://play.google.com/store/apps/details?id=com.Level5.LT1REU

https://play.google.com/store/apps/dev?id=5341269538359321555

https://play.google.com/store/apps/details?id=com.square_enix.android_googleplay.chrono

https://play.google.com/store/apps/details?id=com.playdigious.evoland2

Tetris. Pac-Man 256. Brick Breaker Quest. for Tetris at least you'll want to make sure that you've got an adblock DNS set up because it's full of ads otherwise