It really depends where you live in France. You have a big fence left in the west, a 'casse' near bordeaux, but you won't really find anything from violent crime (copper, stolen cars, phones and bikes at most, and most of the activity is genuine).
It's also a good way to know if organized crime is present in your area. If water distribution and/or trash collection is privatized to a 'local' company, you probably have some :)
The rest of the west, even Nantes and Rennes are really chill.
The issue in France is the resurgence of organized crime since 2004-2006. The tough on small crime policy jailed small magrebi caïds (basically local slumlords and drug dealers). Some local caïds gangs were strong enough to endure the storm and to emerge as stronger gangs, but organized crime from southern France (Grenoble, Marseille), and new gangs used that time to carve parts of Lyon and Paris. New crime families emerged around 2012, and around 2015 (I was living in Paris at that time) it could have turned really bad. Rumors of missile launchers, ak47 and other nice stuff in every shop. Things calmed down for no reason (I think the travellers families and magrebi gangs decided to share territory after the terror attacks and Sentinel), nothing really exploded, I left Paris.
To me, the only true violence left in 2023-2024 is around Marseille, near Monaco (Russian mafia left a big hole recently), in camargue (because of the new travellers families). Maybe it'll start again in Paris and Lyon, hopefully not.