We have an UG for that. A GmbH is simply the wrong legal form for that sort of thing. You can create an UG with a single Euro on the bank account (and then immediately go bankrupt once you need to pay the notary).
A UG and and a GmbH is legal-wise exactly the same.
OP’s point is that you don’t need money in the bank to open an LLC like you would in Germany.
No we don't. UG is still a GmbH bureaucratic monster which a bit less start capital. You still need to follow all taxation rules like GmbH, which costs you few more thousands per year (Bilanzeirung, Steuerberater, Abschluss, ...) just to be legaly compliant.
American LLC taxation is as simple as or even simpler than Anlage EÜR. And you don't need a tax advisor to do it.