NB :“Circulation” Schengen visa : This visa allows the holder to travel freely within the Schengen Space, including France, over 1 to 3 years. It can be granted to people who can prove their frequent trips for family or business purposes.

Visa for Spouse or Child of a French Citizen : This visa is for the spouse or child of a French Citizen who need to obtain an airport transit, transit , short stay or circulation visa.

Visa for Spouse or Child of an European Union Citizen (non- french) : You are the spouse or child of an European Union Citizen and need to obtain an airport transit, transit, short stay or circulation visa.

Short stay Schengen visa : This visa allows you to travel freely within the Schengen Space, including France, and spend a maximum of 90 days over 6 months. It is issued for various purposes such as tourism, shopping, business or family visits.

Source:

http://www.ambafrance-uk.org/Different-types-of-visa