omg anon i love the question, but where to begin !!! I don’t know how to make short answers so sorry about that…
I'm going to try not to list the most obvious films but not too niche either so you can find them somwhere. And i started watching french films quite late in my life so you won't see many films made before 2015 aha.
Just in case, you can check my letterboxd profile, I watch a lot of french films now so you might find some stuff there too :)
Also, i'm not sure since when you've known me but the film i would recommend the most is obvisouly Portrait of a Lady on Fire by Céline Sciamma (but you probably watched it already if you're following me haha).
Next obvious film since I've been posting a lot about it recently : Anatomy of a Fall by Justine Triet.
And now, here's a list (in no order) of a few films i really loved/ enjoyed. I tried to put them under different themes to make it clearer but obviously some films mix genres.
Anais in Love by Charline Bourgeois-Tacquet (2021)
The Bare Necessity by Erwan Le Duc (2019)
My Donkey, My Lover and I by Caroline Vignal (2020)
Yannick by Quentin Dupieux (2023)
The Spanish Appartment by Cédric Klapisch (2002)
(Social) Thriller/ Drama :
Bloody Milk by Hubert Charuel (2017)
Custody by Xavier Legrand (2017)
BPM by Robin Campillo (2017)
The Class by Laurent Cantet (2008)
By the Grace of God by François Ozon (2018)
Happening by Audrey Diwan (2021)
The Night of the 12th by Dominik Moll (2022)
Saint Omer by Alice Diop (2022)
Atlantics by Mati Diop (2019)
Hippocrates by Thomas Lilti (2014)
Amour by Michael Haneke 2012
Onoda, 10 000 Nights in the Jungle by Arthur Harari (2021)
Other People's Children by Rebecca Zlotowski (2022)
Raw by Julie Ducournau (2016)
Infested by Sebastien Vanick (2023)
The Swarm by Just Philippot (2020)
The Animal Kingdom by Thomas Cailley (2023)
Little Girl by Sébastien Lifshitz (2020)
Cléo from 5 to 7 by Agnès Varda (1962)
The 400 Blows by François Truffaut (1959)
My Night At Maud's by Eric Rohmer (1969)
I tried to only put one film by director otherwise the list would be endless.
So here you go, have fun now !! And please let me know if you watch some of them :)