These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: Broken Blossoms
Fair for Its Day - Despite the Yellow Face and the racial slurs, Chen Huan (and the Chinese community in London generally) is depicted positively. And of course Chen is the hero of the story.
Unfortunate Implications - Chen is played by a white man in Yellow Face, as was routine for films of the time (The practice remained common at least until the 1970's, and has not entirely been abandoned to this day.)
Values Dissonance - Though he is an unambiguous hero, Chen is mostly referred to, even in narration, as a "Chink", or a "Yellow Man".
Lucy in all her life was a servant to her abusive father. When she does her un-smile, the narration notes that she never had a cause to smile genuinely. When she finally meets a man who's nice to her, she's murdered by her father because of it.
Chen, who has to see his ideals destroyed, and the girl he loved killed - partially because of him.