Hello!
I'm currently searching for a romance J-Drama or romance Japanese/Korean movie with a HAPPY ending!!
I recently just finished watching Love Shuffle and loved it!
Thanks! ^^
I'm not much into romance but at least I enjoy watching these drama:
Nodame Cantabile
Hana Kimi
Last Cinderella
Ouran High School Host Club
From five to nine
Love that will make you cry
I'm on my phone so I'll link then when I'm home.
From 5 to 9 (I loved this drama!)
Minami-kun no koibito season 3/ minami-kun no koibito my little lover
Kimi wa petto
switch girl!
Oh and Orange days, believe me, you have to watch this one, it's sooo good! :)
Kyou wa Kaisha Yasumimasu
Omukae Desu
Please Love the Useless Me
Good Morning Call :DDD Highly recommended
I second Kimi wa petto (one of my all time favourite jdramas). 
Also the obvious Hana yori dango
Kazoku no Katachi
Pride
Zenkai Girl
I recommend 'Nagareboshi'...its one of the best dramas I've seen...it's so touching and  the actors are great...there is also'from nine to five' which is more on the romantic comedy side....also there is a new drama called 'hapimari: happy marriage?' which i haven't watched yet but has good reviews..enjoy!!!
Zenkai girl
Rich man poor woman
From 5 to 9
itazura na kiss
hana kimi

Lady Girls
Umi no Ue no Shinryoujo
Sekai Ichi Muzukashii Koi
Hana yori dango
Pride
Buzzer Beat
Sekaii ichi muzukashii koi
Hotatsu no  Hikari
Nodame Cantabile

J-DRAMAS - Kingyo Club, Asuko March, Kekkon dekinai otoko and Miss Pilot (although this doesn't have romance exactly).