For quick-distraction-when-I'm-bored, I tend to use Hangman, 2048, Minesweeper, and Boomshine. (And GeoGuessr, but not on mobile.)

(I didn't count them because my brain parses a query of "what games do we play?" as more like "what sources of game-related psychological nutrients do we use?", and casual games don't fill the right niche in my head.)