Technically the challenge is met -- France was a Constitutional Monarchy from 1815 to 1830, under the Restoration. While the voting franchise was quite strict, the King held executive power: ministers were responsible to him, not the parliament, he commanded the arm forces, had the right to declare war and make treaties of peace, and he also appointed all people of the public administration. He alone proposed laws and sent them to the Chamber of Deputies of the Chamber of Peers (aside from bills concerning the budget, which were sent to the Deputies alone). He certainly had significant powers, and if the reign of Charles X had been avoided, the senior branch might've retained the throne. The powers of the king, however, would certainly be weakened throughout the 19th century as a more constitutional monarchy became the norm.
The July Monarchy (1830 to 1848) also meets the challenge, but the Charter of 1830 was much more liberal than the one of 1815. The King could no longer propose laws, for instance.