I'm Home, Kimi to Ita Mirai no Tame ni, LIFE, 35 sai no Koukousei, 49, Akumu-Chan, Biblia Koshodou no Jiken Techou, Binbo Danshi, Boku to Star no 99 Nichi, Dr. Koto Shinryojo, Freeter, Ie o Kau, Gakkou no Kaidan, Holyland, Juunen Saki mo Kimi ni Koishite, Kokoro ga Pokitto ne, Nobunaga Concerto, Orthros no Inu, Satorare, Share House no Koibito, Shibatora, Yokai Ningen Bem, Tonbi, Flowers for Algernon, etc.
As you can see, I'm a big fan of japanese dramas myself and I can easily extend this list, but I think it's more than enough! I hope you'll like at least some of these :)