Pixel Dungeon or Shattered Pixel. They're roguelike dungeon explorers. The latter is a continuation of the former, which hasn't been developed for some years now.
Android
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Witcheye is a good version of flappy bird, as its controlled with only one finger, with extremely difficult platforming.
Supermeat boy forever, great game all around but very difficult.
every game is ad free is you use pi-hole
Yeah but I'm all over the adblocking front at home. This is specifically for when we travel waaay out of civilisation but my kids still want to play some games. Pretty annoying that most of them don't work at all.
Not interested in packing the starlink dish for this purpose, I go out there to disconnect, that's kind of the goal.
Sand:box, plague inc (i recommend buying premium for both) and all games on f-droid.
The Layton games - the DS games have been ported to Android and totally slap. As someone who never had a DS, I'm enjoying this era of the games coming to Android and being playable here.
There is a Cultist Simulator there. I don't know about Android port much, but it's a good game on PC
Peglin! It's an amazing peggle style rouge-lite
Star Traders: Frontiers. Be a space trucker/pirate/merc. Singleplayer offline space turn-based RPG Pay once only but frequent free updates. No bullshit P2W, gacha, timers etc etc.
Bonus: kill xenos scum, customize your ship load out, satisfying crew combat.
Cons: annoying RNG card minigame for spying, blockading, salvaging. Enemies esp. xenos can get very unforgiving on high difficulty setting.
Have you tried looking on itch.io? I recently got a few games from there (some are hosted on the play store but not all)
Only bad thing about browsing is that 80% of the games seem to be dating sims or visual novels (which is fine if you're looking for that, but annoying if you're not)
Edit: infidhells seems really fun, but haven't had time to play much, to use all the gameplay features it's worth playing with the sound on (though it has accessibility options for playing without audio).
Rusted Warfare is a great RTS. It has offline and online server hosting (never seen that on mobile before). It feels like I'm playing an RTS on GameRanger.
SuperTuxKart I guess? It lets you to play offline, although online mode and add-ons are required internet connection.
Soul Knight is my go to
OpenTTD! https://play.google.com/store/apps/details?id=org.openttd.sdl&hl=en&gl=US
It's a FOSS version of Transport Tycoon.
My go-to for like 5 years has been StudyGE. It's just a Geography game, but for the rare ocassions where I have nothing else to do and I don't have Internet in my phone I go to it.
There's also the trivia game Dilemo, though that is in Spanish and I think it might have some ads, it's just that it serves them so infrequently that I'm not even sure if I hallucinated them. Like I think it only serves ads when you have been playing it for long-ass sessions, and I usually only play for a few minutes, so.
Papers Please is what I mostly play on my phone on aeroplanes (if I haven't packed the steam deck). A classic that works well on mobile
Also, Mini Metro (and the rest of the series) is great.
The Bonfire: Forsaken Lands
https://play.google.com/store/apps/details?id=com.xigmagames.thebonfireFL&hl=en&gl=US
This is one of the few (not including humble bundles from may moons ago) non-free to play games I have. Great game.
If you like managing games, like manage a fantasy town, or manage a gaming development software house, or an airport, or a restaurant, or a SPA, then I'd suggest Kairosoft. Their games are the last bastion of old school pixel graphics offline games with no DLC whatsoever.
https://play.google.com/store/apps/dev?id=7710637777904825280&hl=it&gl=US
Vampire Survivors, 20 minutes till dawn, geometry dash. Space cadet for android - available on github, super meat boy forever.
Templar Battleforce.
Magic Research
It's an paid offline idle game without ads and a nice progression. Also has a demo.
https://play.google.com/store/apps/details?id=com.mcolotto.magicresearchfull
slice and dice
my go to is frequently Puzzles. it is a bunch of classic puzzles rolled into one, and i'll just go through my favorites on a loop. on a second hand, if you like rogue-likes, Hyperrogue and Shattered Pixel Dungeon are both fun free and offline.
Every game is a no ads game with blockada :)
Just saw your other comment about traveling, my go to game is Pirates Outlaws, cost a bit money but is offline ad free and very fun. I put a lot of flight hours with it
PewPew live and PewPew 2
Shadowmatic is a great little puzzle game. It's paid but the graphics and attention to detail are incredible.