I did watch some anime and read some manga as a kid, but it wasn't much, so I didn't really get into it. I started watching dramas after my friend kept bugging me about it. She was super obsessed at that moment, so all she could talk about was Coffee Prince. She showed me half an episode, so I figured...What the heck, may as well see what its about. I've been hooked since then!
As for Japanese and Taiwanese dramas, I just ended up watching them because of recommendations from other friends. Since they realized I was a complete addict (they encouraged my addiction rather than planning an intervention--though I'm not complaining :D)
First Kdrama: Coffee Prince
First jpdrama: Kurosagi
First twdrama: Devil Beside You