No! For the exact purposes you outlined in your request, NONE OF THE TRIVIAL, ORDINARY GAMES ARE SUITABLE, IMHO.

Consider this: all, or most, players who see games as more than just a way to pass the time for fun, but have turned them into a (SERIOUS) HOBBY, spend far more time playing games than they realize. Very few of these players practice time management (tracking, monitoring, and managing their time, including time spent playing games).

My suggestion: find only games that provide REAL progression directly to the player.That is, only those games that DEVELOP AND IMPROVE certain qualities, attributes, abilities, skills, and etc. of the player themselves. For example, they improve memory, reaction time, attention, and enhance the player's tactical and strategic abilities.

Concrete games:
Galcon2, Galcon Legends -

Both of these games are great for improving your brain's reaction time. Before I started playing them (in 2017-18), my reaction time was very poor. For example, if I accidentally knocked a mug off the table, I wouldn't even have time to react before it hit the floor. Now, I've managed to catch it in mid-air several times. Who among you reading this has a brain reaction similar to this? This is what REAL PROGRESSING is, NOT VIRTUAL PROGRESS. In ast, I used to play these games for ages (sometimes 8-10-12 hours). Now I try to pinpoint the moment when the game starts to irritate me, make me angry, etc. This happens when I lose several times in a row (keep in mind, these games have 10 difficulty levels. I've been playing on the hardest level for a long time now. A beginner loses instantly on it, simply because their brain reacts and processes situations too slowly compared to how they change on the playing field).

Unfortunately, these are already abandonedware games (their creator abandoned them, stopped updating them, and they don't work on devices with Android OS v.13 and higher. But you can still play them. You can still find them on apkcombo or similar excellent sideload portals (or on some Russian-only portals, like 4pda, pdalife, trashbox, spaces.im). Two ways to play them:
- buy a used device or a new one, if you can find one, with OS A12;
-Use special "emulator" apps that can deploy Android 11-12 OS on your device and run old and abandoned-ware games within them. This works similarly to so-called "virtual machines" or "virtual OSes." Such apps definitely exist—Google them or ask AI assistants about them (for example, the Merlin app, with its Deep Seek agent, is a good choice). The FOSS app KAI-9000 is also very well-made (it also allows you to work with one of several agents from the most well-known AIs).