I'm looking for slow burn romance dramas (made before 2015)

I've not seen Nagareboshi, so I'm unsure of its vibe.

You're My Pet features two lost souls who find one another. It's odd, but if you've watched many Japanese dramas, you're aware how quirky they can be.

GentleRain:

Ai no Uta
Akai Ito
Aoi Tori
Arifureta Kiseki
Beautiful Life
Boys over Flowers
Densha Otoko
Flower Shop Without Rose
Full Throttle Girl
High School Teacher
Kamisama Mou Sukoshi Dake
Kou Kou Kyoushi
Last Christmas
Last Cinderella
Long Vacation
Love Generation
Love of My Life
Love Revolution
Mou Ichido Kimi ni, Propose
Orange Days
Sore wa, Totsuzen, Arashi no you ni..
Strawberry on the Shortcake
Summer Snow
To Heart: Koishite Shinitai

thanks!