Not a French classic but the Harry Potter saga in French could be suited for your current level of French (although maybe “too easy”… ? Can’t really say, I’m not used to the A/B/C-levels).

Some books from Voltaire (Candide, Zadig) or Victor Hugo (Les Misérables) might as well suit you. I would recommend Candide to begin with.

Try Le Petit Prince de Saint-Exupéry, par Gérard Philippe.

“Les comtes du jour et de la nuit” by Guy de Maupassant are also quite simple.

P.S. As for me, to listen to French songs and to look at their lyrics afterward seems useful.