In all monarchies, except Sweden, the monarch has real power.
Does Spain look like a micro-state?
Constitutional Monarchy
www.monarchist.org.uk
Problem is, You associate 'real power' with absolute monarchy,
and even when constitution gives the monarch any authority,
You call that autocracy, and that has nothing to do with the
legislative function of the parliament.
This just puts a big question on the functionality and relevance
of representative democracy in our day and age.
Would it be Luxembourg, nobody noticed.
But it's Israel,
and an Israeli Monarchy
gets everyone on their tiptoes, good.