Taiwanese dramas ToGetHer and Mars are both romantic dramas where the female leads are very shy and introverted.
Then there's Yamato Nadeshiko Shichi Henge and Nobuta wo Produce, both j-dramas, as well as japanese movies Sukitte il nayo, Kimi ni Todoke and Koizora (actually there's a drama of that movie too, I haven't watched it yet though).
For korean dramas there's Fated To Love You (I've only watched the korean version, there's alos a taiwanese version), and I also second Heart to Heart.
Here's a link to a question I had posted a couple months ago that may interest you:
http://mydramalist.com/discussions/recommendation-...