Our King has no power; we have a prime-minister who's from the majority chosen during the previous elections. We also have a coalition (several parties) at the government.
In France, the President is now elected for 5 years (used to be 7) and there's a prime-minister who's from the majority seen during the last elections.
If Belgium's or France's policies are criticizedby the parliament, a confidence vote can overthrow the government and elections are organized several weeks later. In France, the president stays, but a new government can have a totally different agenda.

I have the impression that no US president can be impeached without being replaced by the non-elected vice-president. No elections take place outside of the expected dates.

Raoul