Are both of these things mandatory for EU citizens?

I'm mainly talking about: - Voting (at federal elections) - Jury Duty (at a courtroom) I know that in certain countries like Australia f…

Speaking for germany: no mandatory voting, no jury duty.

Being part of a jury is voluntary and you have to apply for it. It’s also probably quite different from the US jury system.

Same as most European countries, Germany has the adversarial system - no jury, just the judge.

Don’t know about elsewhere, but in Germany, for some trials, there are an additional 1 or 2 “lay judges” - non-professional judges from the community.

Quite similar here in Czech Republic. No jury duty, because there is no jury and voting is absolutely up to you.