Will 1 Litre of Tears do? Based on the life and diaries of a young girl with a degenerative disease. She was a lovely person and touched many people's lives.
The one that I had to stop for nose blowing and proper sobbing before mustering the strength to continue though, was an 8 episode *comedy* about a boy who befriends a ghost, grows up to become a young man and takes the ghost to live with him at university. It has an enormous heart, some amusingly grey morals, and is so full of kindness, love and friendship the last episode hits even harder. It won't add to your stress but let yourself get caught up in it and you will cry. He's Coming to Me