To Sir, with Love (1967)
Sidney Poitier plays Mark Tachekray, a teacher who is trying to reach a rowdy group of East End students. This film is definitely a tear-jerker as it explores human nature through the lens of teenagers.
Cool Hand Luke (1967)
Paul Newman plays a jailbird with a "cool hand" who gets sentenced to two years in a Florida prison farm. He is constantly at ends with the warden as he tries to embolden his fellow prisoners.