Sorry to say, but if that's your business proposal, then you're getting your MBA courses wrong 😫 not due to your proposal being clearly illegal, but because it has no monetization (and actually it's not business proposal per se, but charity proposal).

And regarding your question, while copyright infrigement is illegal worldwide, there's already a working solution which is used by major pirate resourses. And this solution is hosting copyrighed material on servers which are located on jurisdictions which are hostile towards countries where content owners and you personally live. This means if you need to host popular US/EU content, here's ISPs from China, Russia, Iran, Belarus and so on for your help. For sure, none of them would anyhow care of your privacy, freedom of speech and so on, but what's more important, none of them would also care about any EU/US issued copyright infrigement complaint about your server if it's not backed by local authorities. Needless to say, both your server and ISP HQ should both be placed in such country (server in Moscow won't save you from anything if you rent it from firm with main office in London).