Wow you have watched allot and many of the good ones you've already seen.
But how about:
Personal Taste (Personal Preference----> airing at the moment V.Good)
My fair lady (Take care of the young lady/ lady castle)
God of study
Beethoven virus(This one fits the criteria you set but also doesn't it's hard to categories but i like it)
Smile (more of a drama but it's spectacular and really worth watching)
Nodame Cantibile
Gouksen 1 & 3 (theres also a movie)
Bambino
My name is kim sam soon (My breathtaking kim sam soon)
(Shining inheritance and Cinderella's sister are so good why no interest?)
Movies
Baby and I (Cutest baby you will ever see)
Antique Bakery
Iteawon Murder case
Do Re Me Fa So La Te DO
The Happy Life
Going Crazy Waiting (Longest 24 months)
100 days with mr arrogant
200 pounds of beauty
Hana yori dango Final
Lovely complex
Do you like anime? Heres some in case you do:
Ouran high university host club
Hana yori dango (Boy over flowers)
Love complex
The wallflower
Skip Beat
Fruits Basket
Karin
Itazura na Kiss
Nodame cantabile
Vampire Night
Toradora
Movies
Spirited away
Porco rosso
Howls moving castle
Princes mononoke
Nausicaä of the Valley of the Wind
Kiki's delivery service
The cat returns
My neighbour totoro
Castle in the sky
And thats all i can think of right now
Hope this helps