I prefer Korean dramas, though those from other countries are welcome also. They don't have to be recent dramas also. I don't want to bore everyone with the genres I like/dislike, so just list any dramas that you have watched that you really loved and I'll look them up :)

From your list, I would recommend 1 Litre if Tears and Akumu chan. For others, feel free to go to my profile and look at my Lists. I have a lot of dramas that I rated an 8 or above on my Favorite Dramas list.
I was planning to watch 1 Litre of Tears too! I'll also check out Akumu chan and your lists. thanks for the recommendations! ^^
No problem! (*^_^*)
Dramas you may like are "Mask" and "High Society" both Korean. I liked both, so it's a 8/10 rating I think.
I see that The Princess' Man is on your list. It's a fantastic drama. I absolutely loved it, and just about everyone that i know who watched it, has loved it too.

I couldn't help but see that dropped Secret Garden. I recommend giving it another try, it's a little slow at first but it's a really amazing drama. 
I second the princess man :) 
Secret Garden (Ha Ji Won unnie is here too. This is my top among the top drama. I rewatched this a couple of times. This is just my thing) ---OOOPS YOU DROPPED THIS  EVEN THOUGH YOU HEART HJW?? WHY?? Anyway, probably this is not a cup of your tea or probably because it started soooo slow. Or just maybe your otp is JCW-HJW. I love them both as a pair and love them both as individuals so I can watch them even in separate dramas....
Healer (Ji Chang Wook is the male lead. I love him and there is also a great chemistry between the lead)
Fated to Love You (Korean and Taiwan, both are good)
The Greatest Love (Gong Hyo Jin unnie is here too. I also love her. Since you watch, IOTL w/c is one of my fave as well, you have to watch this as well!)
Reply 1997 (So far the best Reply among the series. Currently watching 1988 as well, its good but 1997 focus more on the romance rather than family. The chemistry between the leads is just overflowing!)
Rooftop Prince (If you are not a fan of historical dramas, this  can be your gateway to one. Thisis a drama that is somehow historical but with a twist.)
Kill Me, Heal Me ( It's okay, that's love rival but more exaggerated a bit --7  people in one body. YEP! No kidding! )
Emergency Couple and Cunning Single Lady (both divorced couple, have to work together because of a job. Both recommended! Plus Mong Ji is in EC. hehe)
Bride of the Century (I can say that the female lead is absolutely good for a newbie actress plus Lee Hong Ki is here <3)

Top 3 movies that I ABSOLUTELY LOVE (Warning: Tear Jerker genre)

Windstruck
Miracle in Cell No. 7 (It's on your list and I also gave it a 10/10 rating. You can watch it in youtube! I rewatched it a couple of times. Worth it!)
Rockin on Heaven's Door /Our Heaven here in MDL

I want to give more suggestions/ Just check my list. i think we somehow have the same taste in dramas and fave actors and actresses a bit! ) ^^
The Princess' Man is an amazing drama that you should definitely check out. Probably my absolute favorite drama at the moment. 

I also recommend:

The Master's Sun
The Greatest Love
Scent of a Woman
I Hear Your Voice
You Who Came From the Stars

operation proposal ............... its my fav love drama . the boy goes back in time for the girl .... very sweet .

healer ............. its action romance plus its the highest voted drama for last year
city hunter ....... again action romance
marrige not dating ............ if u like romcom

reply 1988 is in list then u can see reply 1997 also
Some you definitely have to see at some point in your life (mixed genres in no order)

- Cruel City
- Bad Guys
- Smile, you
- Healer
- City Hall
and Ouroboros

Just finished the latter and i'm in a mess, need something myself to get over it. Don't watch if overly emotional but drama can be finished in a day
I recommend I Remember You and of you like 49 days I think you'd like the Taiwanese drama I Am Sorry, I Love You