This sounds like a show I'll definitely put in the queue next fall (via Alyssa Rosenberg): I’ve been saying repeatedly how excited I am for Political Animals, the USA Network’s six-hour show this summer about a First Lady turned divorced Secretary of State, and the trend of women politicians on screen in general. And now, we’ve learned that Sigourney Weaver is going to be playing the main character in that show, who is clearly based on Hillary Clinton. Given that she’s one of the most commanding women on any screen, large or small, I think Weaver will play the hell out of this part—she can credibly, and interestingly, give hell to just about anyone, be they head of a paramilitary strip-mining operation, insect-like alien, or recalcitrant foreign leader.
The most interesting parts of Game Change for me were the parts that echoed Primary Colors, discussing the tensions and devotions of the Clinton marriage and family. The Clintons are an American family that we would have had to make up if they didn't really exist, and it turns out, we'll keep making them up even though they do.

Salon.com
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The Brits have some excellent ones. Did you ever see the House of Cards miniseries? Or The Deal, the the predecessor to The Queen where Michael Sheen first plays Tony Blair. It's about Blair's start with Labour with the title referring to the suspected deal that he made with Gordon Brown so that Brown wouldn't run against him. Same director and screenwriter as The Queen. There's also a third in the series - The Special Relationship which focuses on Clinton and Blair.
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Another very highly recommended mini-series is State of Play. There's a pretty good movie of it starring Russell Crowe but the Brit mini-series is much more satisfying. better character development and the pacing allows for the plot twists to come off less arbitrarily. And of course there's the usual excellent acting and script.
I have my fingers crossed for the US version of HoC. The fact Kevin Spacey is involved gives me hope it will be worthwhile.