I really got a kick out of the West Wing, but I find it hard to get into The Newsroom. It has just a little more inflated inspirational moments and soap-opera-y interpersonal drama than I can actually enjoy, whereas the West Wing leaned more towards sometimes diving a little deep into the dry minutiae of Washington wheeling and dealing, which I personally enjoyed a good deal.
That said, I still watch the Newsroom, and enjoy it pretty thoroughly, because I like what Aaron Sorkin does with dialogue, his back-and-forth style is really fun. I don't know how, or even if, that would work in an anime, but I'm morbidly fascinated to see if it could.