I do not know how to research this, but what is the status on EU? How EU does this? I know that in Sweden it is only one email and you can get any public document. Even the emails of publicly funded positions.
Example of a CJEU decision: https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX:61...
Example of legislative text (a Directive): https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX:32...
If you are comparing it with PACER, there are some differences - PACER contains loads more documents than you get on EUR-LEX including lots of procedural stuff, filings, and so on, while EUR-LEX only tends to have the court opinion, the Advocate-General opinion, and maybe a bit of procedural stuff, but not much else.
This is because the CJEU is in practice a court that only deals with matters of law that have been referred from a national court (or from another EU institution, like the Commission). Comparing the CJEU and a US federal district court is comparing apples with oranges.
Check out figures 27-29 for info on online access and other forms of digitization: https://ec.europa.eu/info/sites/info/files/justice_scoreboar...
Court decisions are anonymized when published online in the EU. Is this the same in the US?