For example, everyone joins a conference call on their phone and then walk around with bluetooth headphones connected so we can talk to each other while using both hands to play a competitive or cooperative game that doesn't involve a screen.

I asked some of my friends in China for what they did while they were stuck at home and some ideas they came up with were curling with household objects, playing music together (requires instruments and talent), scavenger hunts (e.g. "I spy with my little eye", or House Hunt https://i.imgur.com/hJKJwAn.jpg), making crafts, and chess by mail/email (requires some use of a screen/post office).

I'm open to recommendations for either indoor or outdoor games/activities.