I still read Le Monde because they touch on a lot of topics and are usually honest. But their bias is tiring sometimes, like with the current election. I vote for their candidate, but I'm not impressed with the barrage of one-sided reporting. It's still kind of the French "paper of record" though.

Maybe try Le Monde Diplomatique. They're more critical towards globalization and free exchange, but even if you don't agree with them, their articles always dig deep and leave you knowing the subject. They even have English translations for some articles. Recommended by a history teacher some years ago and I haven't been disappointed.

Mediapart is also interesting for French politics. They discovered quite a lot of scandals that made headlines everywhere afterwards: https://en.wikipedia.org/wiki/Mediapart#Landmark_investigati...