Games with good stories ?

Spec Ops : The line
TellTale games
This war of mine
To The moon
no idea about french

are you only looking for point-and-click adventures?
if not, the Witcher series has a very good storyline (allmost as good as in the books).

Bioshock and Mass Effect series

The Cat Lady
The Darkness 2
Bioshock
Deus Ex HR
Game of Thrones (not Telltale, the rpg)
Life is Strange
Far Cry Blood Dragon (lol)
Mafia 1\2
Max Payne
Murdered
Valkyria Chronicles
Dragon Age origins

and shooters, what about shooters? Bioshock and Bioshock infinite have a good story.

and the walking dead from telltale games.
and " Life is strange" of course!

Soldats inconnus : Mémoires de la Grande Guerre aka Valiant Hearts: The Great War by Ubisoft Montpellier.

Baldurs Gates Series, best story ever.

Planescape: Torment, but it isn't for everyone. Torment: Tides of Numenera is going to be it's "spiritual successor", I sure hope the writing can compare to that in the original.

Brothers - A Tale Of Two Sons

i will suggest you (Valiant Hearts: The Great War™ / Soldats Inconnus : Mémoires de la Grande Guerre™)! i think it has a very good story and graphics are awesome! :D

Mass Effect, Mass Effect 2, Bioshock, Bioshock Infinite, Long Live the Queen, The Walking Dead, The Walking Dead 2, The Wolf Among Us, Spec Ops: The Line, Back to the Future, Gravity Ghost.

la série Bioshock et spécialement infinite - .

The silent age
To The Moon

I throw in Hatoful Boyfriend (and yes this is a serious suggestion)

• Planescape: Torment
• LISA
• The Wolf Among Us
• TES 3 Morrowind
• The Stanley Parable
• KOTOR
• Spec Ops The Line
• The Walking Dead
• The Dig
• Monkey Island (all of them)

The Witcher 3.
(et c'est un des rare jeux dont le doublage FR vaut vraiment 10/10, même la synchro labiale est parfaite en VF, elle est aussi bien que si tu jouais en VO)

UNepic : maybe a strange choice ? but the dialogs are hilarious !
The Wolf Among Us Great Story, great ambiance. I'm reading it's only in english, but hey ! if I was able to understand it, everyone is able too.

A very old game just to take a look in the past, Tales of Phantasia, SNES. One of the most interesting I've played so far.

Agarest: Generations of War, it's a tactical RPG but the game is almost 70% of characters and dialogue and 30% of gameplay. I may have exaggerated
Analogue: A Hate Story, it's like a visual novel where you'll only read documents and chat with the AI of the computer to understand what happened in an abandoned spaceship.
Both of them will require some patience cause they are really story/dialogue based.

Just sticking to Steam games:
If you like CRPGs at all, Baldur's Gate I/II and Icewind Dale have good, rich stories. 2/3 say they support French.

If you prefer to stick more to the adventure games, Syberia I/II are both pretty good, support French and have rich stories. There's also Machinarium (no French), the Broken Sword trilogy (the first one supports French), The Longest Journey + Dreamfall (no French), and the Myst series (only V supports French).

I'll add

• Mars: War Logs
• Dust: An Elysian Tail
• Darksiders series
• Legacy of Kain games
• Moebius: Empire Rising
• Bastion

I highly recommend "Le baguette, il a une voiture". Timeless masterpiece but very rare. Might not even find it on Google. ;)
Seriously, talking about timeless masterpieces: http://scummvm.org/compatibility/
Get ScummVM and any game from that list. Some of them are freeware like Beneath a Steel Sky, so I'd start there. The games might have different names in french, e.g. Feeble Files is called Floyd in German but Google is your friend. ScummVM is also on Android btw.
Anyone who says 'Screw these games because they're old and ugly' is not a real story lover and should be struck by a lightning.

shiver I would hate to ever play any game with my language.