The Princess' Man
Scarlet Heart Ryeo
Miracle in cell no.7
Maids
Eternal Love (it had its sad parts...)
A werewolf boy 
Miracle in Cell No. 7 (K-movie)
Heavenly Forest (J-movie)
Iris
Goblin
You Who Cam from the Stars
i remember full on sobbing while watching hachiko several years ago, after that movie i pledged to never watch a movie about dogs again
before discovering asian dramas and movies i almoust never cried watching something, but now there are many movies and dramas that made me cry!!!
movie that made me cry most is a werewolf boy,our happy times^^

drama that made me cry most is one litre of tears, also many historical dramas made me cry, like scarlet heart ryo, sungkyunkwan scandal, warrior beak dong soo, even in my very first drama i cried because i had second lead syndrom and when he was sad it was so hearbreaking, so yea sometimes i cry because of second lead syndrom
Jewel in the Palace
Moon Lovers: Scarlet Heart Ryeo
Grave of the Fireflies
Miracle in Cell No. 7
Desha otoko bcoz its freaking real
Fated to Love You is on my list as well
Angry Mom

and I think Circle made me cry too..
1 Litre of Tears 
Gu Family Book, Faith, The Kings2Heart, Moon Lovers
Go Away Mr. Tumor! and Miracle in Cell No.7 for the movies. (as of now lol)
Suspicious Housekeeper and Scarlet Heart Ryeo (due to the injustice of the ending lol)
REPLY 1988 every freaking episode y'all :( and Miracle in Cell No. 7 for movie!