I found this on Vogue.fr on the 'mythical beauty of la parisienne' which might give some ideas of classic, French beauty products to buy.
Essential Fragrances
Chanel no. 5
Dior, Diorissimo
Nina Ricci, L'air du temps
YSL, YSL Paris
Guerlain, L'Heure Bleue
Hermes, 24 Faubourg
Skin care products
Nuxe, Huile Prodigieuse
Clarins, eau dynamisante
La Prairie, Creme Caviar Luxe Visage
Leonor Greyl, L'Huile de Palme
Estee Lauder, Advanced Night Repair
Elizabeth Arden, 8 Hour Cream
Legendary Cosmetics
Helena Rubenstein, Mascara Long Lash
Dior, Rouge Dior Lipstick
Lancome, Mascara Hypnose
Guerlain, Terracotta bronzer
YSL Touche Eclat
Givenchy, Prismissime Eyes