Korean Drama - Autumn in my heart
Taiwanese Drama - Meteor Garden
First Asian drama (that I remember) : METEOR GARDEN <3

Japanese : water boys
korean : heartstrings
K-Drama: I started Fated to Love You, but I FINISHED You Who Came From the Stars before I finished FtLY.
J-Drama: Tatta Hitotsu no Koi
Thai: Full House
C-Drama: Love Me If You Dare
TW-Drama: Autumn's Concerto
K-Drama: Boys Over Flowers
T-Drama: Meteor Garden
J-Drama: Suki na Hito ga iru koto (i prefer jmovies than jdramas) 
C-Drama: -
My first K-drama was You're Beautiful. It was the start of a great passion.
K-Drama: Queen of the game
J-Drama: 1 Litre Of Tears
Tw-drama: In a good way
C-Drama: Boss and Me
kdrama: Pinocchio
jdrama: 1 Litre of Tears
K-Drama: City Hunter
J-Drama: JIN
T-Drama: Inborn Pair
C-Drama: Scarlet Heart
Kdrama: Winter Sonata
J dorama: 1 litre of tears
I only watch k-dramas. My first drama was Full House
A friend showed in 2007 , hooked since then. 
T-drama: It started with a kiss
K-drama: Goong and Coffee Prince
J-drama: I can't remember but it was adapted from manga and later made into Korea and Taiwan
K drama:full house(watched in 2009)
T drama:Meteor garden
J drama:It starts with a kiss
K-drama: Oh My Venus. 

Going to see my first Japanese drama today: 1 Litre of Tears. 
Hope this is good.
K-Drama: Heartstrings (but i never finished it ;-;)
J-Drama: Good Morning Call

I really want to start watching Chinese/Taiwanese dramas but have no clue where to start