If you plan to leave Germany: a lot of options, take your pick. Malta and Cyprus are easy, convenient options for EU nationals. But you can go to UAE, Bahrain, Caribbean, and elsewhere. Lots of options.
If you don't plan to leave Germany: no options, unless you are very wealthy and/or unless you are comfortable breaking the law and risk the wrath of the the tax authority.
If you create a US LLC for yourself, it becomes a German company for tax purposes and has to pay German taxes like any German company.