You have the official national healthcare that you're forced to pay "la securite sociale" and a wide range of private healthcare that you're forced to pay as well "une mutuelle".
Noawadays, it's even picked and forced by your employer (but taken on your pay). You may not be able choose or deny the plan you're offered. It's messy.
It's not a benefit when you're forced to take it AND your wife is forced to take one as well (that both cover both of you). So you end up paying double. Then not only it's taken away from your pay directly by the company but it's also a taxable benefit so you pay taxes on top. Just saying.
You have the official national healthcare that you're forced to pay "la securite sociale" and a wide range of private healthcare that you're forced to pay as well "une mutuelle".