Oh, many dramas have made me experience all kinds of emotions. The first one that comes to mind is Ugly Alert which is full of really sweet moments, but also some heart-breaking ones to the point where you find yourself crying like there's no tomorrow and overflowing with smiles, all in just one episode. I know it's very long, but it has some of the most intense feelings I've ever seen in a drama.
There are also some dramas like Angry Mom, 35 sai no Koukousei, Suzuki Sensei and Kazoku Game which are very intense and made me feel like somebody caused me personally some injustice, and I just kept crying, smiling and get excited each episode.
And there are also some like Zeni Geba and Holyland which touched some really dark themes and made me feel like there's no point in doing anything, but which exactly because of this, they were really good.
And how to forget dramas like Hi My Sweetheart, Coffee Prince, Kokoro ga Pokitto ne, That Fool, Modern Farmer, etc, that made me smile all the time... or dramas like Bitter Blood, Falling for Innocence, Ouroboros, Good Doctor, You Who Came from the Stars, Nobunaga Concerto, Gap Dong, Orthros no Inu, I'm Home, etc, that made me more excited by the episode...
I guess I keep watching dramas because they always make me feel all kinds of emotions ^^