Juliet from Romeo and Juliet - both get obsessed with someone and the idea of familial or romantic love and it leads to their deaths.
Eowyn from The Lord of the Rings - both step outside the traditional role for women in their societies for what they believe is right.
Neil from Dead Poets Society - Meghna stole my idea but I agree, both characters could not achieve the one thing that mattered in their life in that moment because of parental power and so committed suicide.