When I was a JET I hardly ever used to watch Japanese TV. The reason was I didn't usually have time in the evenings, as I either had karate practice, Japanese class, or my English conversation class. However, since I've been back in Japan I've been trying to watch more TV. One of my friends at the language institute often recommends dramas for me to watch. One I'm watching right now is really good. It's called "Last Friends".
http://wiki.d-addicts.com/Last_Friends The storyline is rather dark (each of the characters is fucked up in their own way) and there are some scenes that are very disturbing. However, the drama is ultimately about how important friendship is and the acting is really good. I do find it funny though that the female character who is questioning her sexuality is such a stereotype; motorbike racer, short hair, talks manly etc. Also the theme song "Prisoner of Love" by Utada Hikaru is so cheesy. All that aside I do recommend watching it if you have time.