According to the World Index of Democracy for 2017, 6 of the first 10 countries are constitutional parliamentary monarchies by state regulation!
Also, when looking at the top 20 places, half are monarchies!
These are the Kingdom of Norway (1st place), the Kingdom of Sweden (3), New Zealand (4), the Kingdom of Denmark (5), Canada (6), Australia (8), the Kingdom of the Netherlands (11), the Grand Duchy of Luxembourg(12) , United Kingdom (14) and Kingdom of Spain (19).
This is the best example that the monarchy is NOT a backward, outdated system, as opponents of the royalist state order claim.
You can view the entire report on LINK