In addition, you cannot register LTD in Ireland yourself, the Company's secretary must be a different person. So either you are now in business with a friend or you pay someone.
For any other member country you also run into a language barrier.
Polish "Sp. z o.o." has ~1150€ (5000 PLN) minimal capital requirement.
Registering entity with corporation tax requirement in any other country also means you would need to defend its tax residency (practically impossible if you don't actually do business there) or you have to pay corporation tax in the country you are actually operating in. It's doable but now you are dealing with two different tax authorities and potentially pay taxes in different currency and you can't have books in multiple currencies so get to have lots of fun.
It's much easier to just register US LLC instead at this point. However if you want to do anything physical not digital you end up having to register and do taxes in your resident country anyway. But you can avoid corporation tax at least and keep limited liability.