Did a quick browse and I believe you didn't see these yet. All favorites of mine for different reasons but I loved watching them all.
Long Love Letter: a real original drama based on the manga the Drifting Classroom. Good acting and something fresh with hearth if you're willing to take a leap of faith on some of the sci-fi stuff.
Soredemo, Ikite Yuku: slow paced J-Drama about guilt, forgiveness and social stigma. Above all A++ acting.
Suzuki Sensei: best school themed drama I watched. Heavy theme's though. But how they handle it is its strength.
Mahoro Ekimae Bangaichi: hilarious, great acting and best actor pairing I've seen.
Tempest: Japanese historical gender bender. Fresh, not romance driven and fun.
Bara no nai Hanaya: family orientated drama with a hint of mystery.