There is minesweeper.

https://f-droid.org/packages/org.secuso.privacyfriendlyminesweeper

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I like free games because I can try all sorts of different things and don't feel bad if I don't like it

Currently I like these two on Android:

Alto's Adventure = Skifree meets Tony Hawk

Iron Marines = simplified Starcraft

I've also heard good things about various professionally made games which have a retail price, eg the Hitman puzzle game

These are pretty good too!

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