Asklemmy

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.

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

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.

dungeon cards, shattered pixel dungeon, or just read manga

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.)

Bomb Club on iOS (was on Android at one point)

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.

Jetski.

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

Little Inferno

It's not an arcade-style game by any means, but I can't recommend "Sky: Children of the Light" enough! My partner and I have been playing it daily for over 4 years and still can't get enough of it. It's hard to give it a proper description. It has a beautiful storyline with new seasonal stories that come out every 3 months or so. You play as a child of light whose mission is to banish darkness and shepherd spirits from a post-apocalyptic land into the stars. However, the real core of the game is the social aspect. It's mmo-adjacent (typical server sizes are 8 players) with other players showing up as other children of light. You slowly make friendships using in-game currency and gifting each other friendship levels. You cannot chat with others at first and must communicate through a variety of emotes until you unlock chat in the friendship tree. The way communication and friendship is handled in the game makes it one of the most friendly and least toxic communities that I've found on the Internet. It's also cross-play and cross-save between Android, iOS, Switch, PlayStation, and Steam. That Sky Game

Survivor.io is actually amazing and doesn't panhandle your for money

Bloons TD6 is great and will melt your life away

Pawnbarian is a good twist on chess

What about KOFA2012?

Spirit Island and Star Traders

Threes!

You didn’t say what OS you were running, but if you’re running an iPhone, the original Sonic is in the App Store and is pretty playable on a phone. I also really liked Temple Run.

The Way Home

Geometry Dash

Did you try qr コード 読み取り for more?

Clash of clans (if you can be patient) games from f-droid

Balatro, when it finally gets ported to mobile. It's probably right up your alley.