@J12t As a maybe somewhat unusual (but huge!) example, there is SWIFT: https://ncbaclusa.coop/blog/did-you-know-swift-is-a-cooperative/

Also, the European Union has established a legal form specifically for cooperatives with members in more than one EU country: the European Cooperative Society (SCE), https://single-market-economy.ec.europa.eu/sectors/proximity-and-social-economy/social-economy-eu/cooperatives/european-cooperative-society-sce_en