German ID cards also support eID functionality on their citizen ID cards and even permanent resident ID cards, but ironically EU citizens are qualified for the issuance of neither, so they had to introduce another type of card for them to not run afoul of EU anti-discrimination laws.

All of this is currently pretty messy and there's only limited practical cross-country acceptance of eIDAS signatures, but is supposed to get unified under the banner of EUDI (EU Digital Identity) "wallets".