I want to watch shows that have some sort of contract or arranged relationship and the people involved in the arrangement end up falling in love

it doesn't have to be the main plot or even the main characters

5-ji Kara 9-ji Made- J-drama
Cinderella and the Four Knights- K-drama (although the couple with the arrangement don't end up together, they are good friends)
Fated to Love You- K-drama (forced marriage due to prengnancy)
Goong- K-drama
Marriage Contract- K-drama
Marriage, Not Dating- K-drama
Master Devil Do Not Kiss Me- C-drama (they made 2 seasons)
My Little Bride- K-movie

Good contract/arranged married dramas that I enjoyed: 

HapiMari
Cuo Dian Yuan Yang
They Kiss Again* - It Started With A Kiss is the first season, but I like the 2nd season better because the couple is married here & we see them grow & learn to get used to each other more in the 2nd season than the 1st. It's also not 100% an arranged marriage drama, but pretty close given the circumstances under which their relationship developed.

Ones that I personally didn't enjoy so much, but you might:

Fated To Love You - this drama is actually quite funny in parts, esp the Korean version, but otherwise I didn't like how the arranged marriage part of it was done, mainly because the couple didn't stay together for long and there was all this acrimonious energy between them for a good portion of the show. Not to mention an annoying love triangle that overstayed its welcome. It had a great premise for the contract/arranged married theme, but totally squandered it, in my opinion.

Sunny Happiness - I found this very boring & unromantic in every single way. They absolutely did not exploit the contract marriage theme as much as they could and should have in this drama. It made me wonder why they even bothered introducing it at all if THIS was all they were going to do with it. But, anyway, that's just my take; other viewers seemed to have enjoyed a lot more than I did so you might too.


Special mentions:

Sealed with a Kiss & Too Late To Say I Love You - they aren't actually married, but they live together ... under some very complicated circumstances. These drama are more suitable for a mature audience as they feature adult characters (as opposed to teens & young adults) and are not your usual light & fluffy romances. They're full of boundary pushing passion & angst, but somehow they will totally get you hooked if you're into these type of dramas.


King2Hearts (arranged marriage)
Empress Ki (arranged marriage)
Bride of the Century (arranged marriage)
Marry Me, or Not? (pretend dating)
Mary Stayed Out All Night (pretend dating)
Mask (arranged marriage)
Best Lover (contract marriage)
It's Okay, Daddy's Girl (contract marriage) It's not the main couple though
Ojakgyo Brothers (arranged marriage) It's not the main couple
Lie to Me (pretend relationship)
Wonderful Life (arranged marriage)
Creating Destiny 
Pride - Dating contract (my favorite)
Bride of the Century
Something about 1%
Goong
Marriage, Not Dating
Blindly in Love is a great movie.
Goong
Full House
We married as a job
Marriage not dating
Sunny happiness
Love contract
That Fool
Mary stayed out all night
Pride
Marriage contract
Delightful Girl, Choon Hyang
Fated to love you
Nagareboshi
something about 1%
Mask
Smiling pasta
Sweet 18
Creating destiny
Wondeful life

Inborn Pair
Drunken to Love You
King Flower
+3 for Mary Stayed Out All Night.

it has:

A contract marriage,
an arranged marriage,
a pretend marriage - all with the same woman.
A love quadrangle,
the worst parents in the world - all of them - they are all horrible people - THE.WORST(tm)
and beautiful hair, on all the leads

it is:

hilarious,
tragic,
annoying,
romantic
and ridiculous.
Family's Honor : pretend relationship
I Summon You, Gold! :arranged marriage ( Park Hyun Tae&Jung Mong Hyun)
My Lovely Sam Soon : pretend relationship 

I advise to watch these movies about adult personal classfields and love:

Pride

Creating destiny

Blindly in love

We really liked them with my boyfriend.

Well Intended Love 

Love In Time 

Pretty Man 

Perfect and Casual

Intense Love