Ten miles of peach blossoms, it´s also the only drama I have re-watched. I love it

✔️ Fated to Love You (Korean) 

I  fell in love with Jang Hyuk 

✔️ Murphy's Law of Romance (Taiwanese) 

✔️ Love Me if You Dare (Chinese) 

Scarlet Heart/ Moon Lovers

Korean - Uncontrollably Fond
Chinese - Addicted Heroin
Japanese - One Litre of Tears
Thai - Love Sick

Boys Over Flowers 

Office Girls  (Taiwan)

First k drama - secret garden

I watched Marmalade Boy (chinese Drama of 2001) in 2005 because i loved the Manga back then. It took me actually like another year to realize that there are many more asian dramas like that and started regularly watching those in the second half of 2006.

Japanese - Last Friends

Korean - Rooftop Prince 

Korean: Stranger/Secret Forrest 

Japanese: Boys Over Flowers 

Chinese: The King's Woman 

Japanese: Pretty Guardian Sailor Moon (2001) - it is the reason, why I got to know J-Dramas and K-Dramas in general. 

Korean: Sweet 18 (2004) - I stumbled across this show by accident - while searching for PGSM. 

Taiwanese: Marmalade Boy (2001) 

I watched these  around 2007/08... I think.... 

I do not watch a lot of Chinese Dramas, so the first is easy to pin down: "Let's go, watch the Meteor Shower" (2009).  (Don't know, when I watched it...)

My first Thai-Drama was "Full House". I tuned in when it came out in 2014.