Not a government-run regular e-mail system, but in Germany there's "De-Mail": https://en.m.wikipedia.org/wiki/De-Mail https://en.m.wikipedia.org/wiki/De-Mail I

Not a government-run regular e-mail system, but in Germany there's "De-Mail": https://en.m.wikipedia.org/wiki/De-Mail https://en.m.wikipedia.org/wiki/De-Mail It's not interoperable with the regular email system (can't communicate with GMail addresses etc), and it's not fully run by the government but by accredited partners. It's meant for sending legal documents across De-Mail users like government agencies and businesses. But it's barely used.