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I have quite a few recommendations. They are not quite non-freemium since they are free, but if your reason to prefer non-freemium is to avoid ads and in app purchases, then none of these games have them. They are all also open source and the link I provided below will be for their respective F-Droid version (note: some of these games are not available on Google Play Store):
Simon Tatham’s Puzzle - A collection of many puzzle games ported to Android. The puzzles include Minesweeper, Net, Sudoku, and more.
This particular game requires far more attention and strategy than the ones listed above, but it can be played once every few minutes if you constantly save and reload (just don’t play online):
Unciv - 4X civilization-building game, similar to Sid Meier’s Civilization series.
I have quite a few recommendations. They are not quite non-freemium since they are free, but if your reason to prefer non-freemium is to avoid ads and in app purchases, then none of these games have them. They are all also open source and the link I provided below will be for their respective F-Droid version (note: some of these games are not available on Google Play Store):
This particular game requires far more attention and strategy than the ones listed above, but it can be played once every few minutes if you constantly save and reload (just don’t play online):
I second Anuto. I found out about and downloaded it a few days ago and it’s simple yet really fun.