These non-capitalist things exist, it’s certainly possible. But as far as I know, they are all very niche.

Great point. We could collect some guidance here for people who might be missing their local options:

• Many credit unions make a small monetary deposit to each of their “customers” each year, to maintain their nonprofit status.
• Many local farmer’s markets are cooperatives, and the ones that aren’t almost certainly are a great place to find your local food co-op.
• There’s a very good chance yourl local library (and any museums you’re lucky enough to be near) are nonprofit cooperatives of some kind.