Another great one is 'A Beautiful Mind'. It depicts the life of John Nash and his struggle with schizophrenia. The acting and storytelling are both outstanding. There are also movies like 'The Imitation Game', which is about Alan Turing and his work during World War II.
I'd recommend '127 Hours'. It's based on the true story of a mountain climber's fight for survival. The movie is intense and showcases the human spirit's determination. Also, 'Schindler's List' is a powerful film that portrays the horrors of the Holocaust.