You pay nothing for ER, 10eur/day for the hospital and a few eur for medication - but nothing even in the range for 50% or 80%
dental is also covered to a large degree but if you want state of the art you have to pay the difference yourself - but you can also add a private insureance for that for 100 to 300eur/year to have everything covered.
you can still fall through if you can't pay the monthly fee - but emergencies are also free even if you don't pay.
private insurance can be expensive but should usally cover also everything.