[vsipuli]

But you cannot deposit money into any arbitrary U.S. bank account using ACH. For every account that you want to make transfers to, you first need to sign a bunch of forms. With the European IBAN system, no permissions or forms are needed to make deposits to a new arbitrary account.

[gst]

Almost all of the US banks allow you to add other ACH accounts that you control. Just confirm the two trial deposits and you can push or pull money from that account.

A few banks also allow to send ACH transfers to third-party accounts that you don't control - for example with USAA that's possible. This still doesn't 100% match how transfers work in Europe (you first need to add the account, then wait 1-2 days, then you can send funds to it), but it's definitely better than "signing a bunch of forms".