Link to Google Play Store since OP only linked to crApple store.
Loved this game as a kid, many fond memories of playing the monochrome version in school
I just want to mention the very overlooked android port of Phoenix that runs full speed on very weak hardware like the Xperia Play, it costs money but it runs everything you throw at it https://play.google.com/store/apps/details?id=ru.vastness.altmer.real3doplayer
Steppy Pants? - https://play.google.com/store/apps/details?id=com.sgames.steppypants&hl=en
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Doesn't match entirely your description but it is a 3d game that comes to mind with what you have said.
I've been enjoying Steppy Pants for the past week or so. Goes great with podcasts and things like that.
One tap gameplay, not terribly demanding and can have a nice flow sensation once you get the hang of it.
The only thing I dislike is that the "reset" time between runs can feel frustratingly long if you keep screwing up early on. Otherwise, the game is surprisingly low key.
Just make sure to either pay to disable ads or slap on airplane mode, they are pretty obnoxious.
If you like Commodore 64 there is a great emulator that I use:
https://play.google.com/store/apps/details?id=com.explusalpha.C64Emu&hl=en_US
Stephen has moved on from the company to start his own one where he made Steppy Pants, so the e-mail has probably been deactivated. I'd suggest e-mailing their official support e-mail instead.
There are some older PC games that have been ported over to Android and still have the traditional "Buy it once, the end" model.
Luxor HD comes to mind. It's a marble shooter with an Egyptian theme.
It costs a couple bucks and that's it. There are zero In-App Purchases. No freemium coins, no unlocks, no bullshit. I still have the CD for this game on PC somewhere... lol
If you know how to unlock the region lock of the game, here it is
Korean: https://play.google.com/store/apps/details?id=com.nhnent.SKLOVELIVE&hl=en
Taiwan: https://play.google.com/store/apps/details?id=net.gamon.loveliveTW
Project title - Planet Lander
Promotion Type - New release!
Promoter - Marc Bourbonnais, owner and developer, Djee Games
iOS/Android links -
https://itunes.apple.com/us/app/planet-lander/id934277137
https://play.google.com/store/apps/details?id=com.djeegames.lander
If you were like me a big fan of Jupiter Lander back in the great Commodore 64 days, check it out! I played this game for hours and was hoping for a sequel to Jupiter Lander 30 years ago, so I finally made one myself...! 60 levels on 3 planets with varying difficulties and hazards, 3 goals for each level and up to 5 space landers to pilot.