The 400 Blows (1959)

A young boy from Paris can't catch a break. He has horrible parents and every other adult in his life is unhelpful and inconsiderate. He and his best friend try to plan for a better life when he ends up in trouble with the law. The 400 Blows is considered a French New Wave drama film. 

Breathless (1960)

Jean Seberg and Jean-Paul Belmondo star in this French crime drama from 1960. Belmondo plays a "suave" criminal who panics and ends up accidentally killing a cop. While on the run, he takes his journalist girlfriend to hide out with him in Paris without her even knowing. The film follows their relationship and how they navigate this bizarre encounter.