:brace-cowboy:
My top picks:
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Super Auto Pets: GOATed autobattler feature cute animals that mercilessly KO each other with blunt force trauma. Pausable at a moment's notice. Excellent entertainment when recovering from a bout of simultaneous salmonella and campylobacter. Available on iOS and Android with a free base version (Pet Pack #1 alongside a randomized weekly pack) and two paid expansion packs, costing $5 and $10 respectively.
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Simon Tatham's Puzzles: A collection of 40 singleplayer logic games. Personal favorites include Net (non stressful version of the pipe connecting hacking mini game from Bioshock), Mines (minesweeper but without RNG that forces you to guess), and Untangle (arrange points so their connecting lines don't intersect). Available on iOS and Android for free. No ads.
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SNKRX: Snake with autobattler characteristics and a bumpin soundtrack. $2.99 on Android and iOS . No ads.
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10000000/You Must Build A Boat: A duology of fast paced match 3 games with upgrade progression. Largely the same game, but YMBAB has a little more polish, some additional mechanics, and a prestige/ascension mode. Fun to play through once in a while but lack of variation means it gets stale before long. $2.99 each on iOS and Android(linking to developer page for sake of brevity).
Honorable mention to emulators—thousands of great games across many systems for free! Post your emulator and ROM recommendations too, I guess.