I'm out of touch with current Japanese dramas, but when I lived in Portland, Oregon, there was an import store that rented pirated VHS tapes (yes, it was a while ago) of current Japanese TV. I used to rent them for language practice.
Some of my favorites from that era have been released on DVD, but since DVDs are so outrageously expensive in Japan--you can buy a whole series/season in the U.S. or U.K. for what a Japanese publisher charges for a single episode--that I have not taken advantage of their availability. (It's the same with other recorded media. CDs are also very expensive.)