moon lovers: scarlet heart ryeo 
In the Kdrama catagory: "Stairway to Heaven".   Tears, tears, tears and i 'm a guy.. or thought i was till i watched that drama.  Kdrama's can make me cry.  Windstruck was a powerful performance too for the movie catagory  Both shows are personal favorites they get my highest recommendations.
The Crucible is the only korean movie I've cried so far.
Miracle Cell No. 7
Never Said Goodbye (Chinese-Korean Movie)
49 Days
A Love to Kill 
Cruel City
Endless Love
Goblin 
Gu Family Book 
Moon Lovers 
Tree of Heaven 
Uncontrollably Fond
Warrior Baek Dong Soo

Hello Ghost.... At first I thought it was going to be a corny comedy but man did it make me cry, such a great movie, highly recommend it.
Wedding dress - movie
I'm sorry I love you - k drama
nice guy - k drama
Drama :

Defendant ( I cried so much thanks to Ji Sung )

Movie :

Miracle in Cell No. 7 ( I was a mess after watching this movie )

Saddest kdrama for me is Memory and Goblin.Saddest korean movie is Miracle in cell no7 and Windstruck 
Innocent Man
Scarlet Heart Ryeo 
Road Number One

Were the saddest dramas I have watched, but still have plenty of dramas to watch, which could enter this same classification.
1 Liter of Tears was the most tear jerking for me. 

Next would be:
49 DAys
Miracle in Cell 7
Unforgetable
Can you Hear My Heart
Secret

I'm wondering where I can get more tear jerking shows myself I've watched nearly everything.
Queen of Ambition ( drama)
Breathless ( Korean Movie)
for movies miracle in cell no. 7 takes the cake for sure, i cried an actual river watching that. and as for dramas - it's okay that's love, kill me heal me, signal and moon lovers.
Stairway to Heaven
49 Days
Moon Lovers: Scarlet Heart Ryeo
The Princess' Man
Empress Ki
For Movies:
The last prince
The sword with no name

For dramas:
1 Litre of tears
White christmas
Nirvana in Fire
That Winter the wind blows