Who grants titles of nobility in France these days?
All the nobility in France is either Ancien Regime, many dating back to the Crusades, ending with end of the French monarchy. There were some post-Louis XVI nobility established under Louis Phillipe, Philippe Egalite, and under Bonaparte.
The nobility is alive and well in France today. Many still live in their family castle or chateau, and have restored them and opened them to the public to visit, or as museums.
There are hundreds and hundreds of chateaux open to the public, especially during summer. It is even possible to stay in a chateau as a paying guest of the family.