We don't see a lot of web series in French around, but when I searched for one I stumbled upon Le Rodri Show and was immediately intrigued. This animated comedy web series is about a late night chat show with Rodrigo Tortillas as host. His guests include famous Canadians such as Céline Dion.
Have a look at the teaser here:
It's produced by TV5 Québec and you can watch the episodes on http://video.tv5.ca/collection/fonds-tv5