I do play games, but not because of your reasons. Because those calls are usually boring as hell and so I am able to pay more attention to them if I'm also doing something else less soul-crushing while listening to it. It has to be some kind of game that you can play on automatic mode, no thinking required. Any game that makes you think with more than 10% of your brain will detract you from the meeting.

Things that work for me:

- Knetwalk

- Mine Sweeper

- Teg (Risk) (sudo apt-get install teg)

- Pindleskin/Meph/Kurast farming in Diablo 2

- Completing easy mindless daily quests in mobile games

- Solitarie

- Trimming my fingernails

- Passing Clorox all over my home office surfaces

Hide the Salami. Google "Jeff Toobin" for how to play.

Codenames: https://codenames.game/

Shameless plug for a short game if you're exactly 4 people:

https://andersource.dev/assets/lasers-in-space/index.html

(Might have bugs and requires decent+ wifi)

- https://skribbl.io/

- https://geotastic.net/

- https://openarena.live/

This non-digital game was designed for zoom play. It’s available on a “pay what you want” basis:

https://susd.itch.io/rats

Codenames, avalon, saboteur. I'd suggest board game arena - it has tons of games and runs via web browser. Little to no access issues.

Maybe a trivia game like https://kahoot.com/

check out https://kosmi.io

Tetris