The petite bourgeoisie:

is the equivalent of the modern-day middle class, or refers to "a social class between the middle class and the lower class: the lower middle class.

The moyenne bourgeoisie:

or middle bourgeoisie contains people who have solid incomes and assets, but not the aura of those who have become established at a higher level. They tend to belong to a family that has been bourgeois for three or more generations.

The grande bourgeoisie:

are families that have been bourgeois since the 19th century, or for at least four or five generations.Members of these families tend to marry with the aristocracy or make other advantageous marriages. This bourgeois family has acquired an established historical and cultural heritage over the decades. The names of these families are generally known in the city where they reside, and their ancestors have often contributed to the region's history. These families are respected and revered. They belong to the upper class.

The haute bourgeoisie:

is a social rank in the bourgeoisie that can only be acquired through time. In France, it is composed of bourgeois families that have existed since the French Revolution.They hold only honourable professions and have experienced many illustrious marriages in their family's history. They have rich cultural and historical heritages, and their financial means are more than secure.
These families exude an aura of nobility, which prevents them from certain marriages or occupations. They differ from nobility only in that because of circumstances, the lack of opportunity, and/or political regime, they have not been ennobled. These people nevertheless live lavishly, enjoying the company of the great artists of the time. In France, the families of the haute bourgeoisie are also referred to as les 200 familles.

The ancienne bourgeoisie:

An intermediary social group between the aristocracy and what we would call the middle classes.
and which was established between 15th and 16th centuries…These families are for the most part provincial dynasties whose social ascension was accomplished in their region of origin and to which they generally remain attached to, and in which their descendants are still present…These families are deeply rooted in the “Ancien Régime”…They have insured the transmission of their material legacy, as well their convictions and set of values for over 400 and 500 years.these families acquired their status during the “Ancien Régime”, and that they belonged to the town’s elite and the upper-crust of the “bourgeoisie” caste.They usually acquired high and important administrative and judicial functions, and distinguished themselves through their success, particularly in business and industry. It was through this distinction that some of these families were ennobled and became part of the aristocracy.