Though I don't think we've had a West Wing remake, and it's a different genre, I wonder if WW had any influence, stylistic or otherwise, on The Thick Of It? (which I believe has been adapted or remade for US?)
There was talk of a U.S. version of The Thick of It
, but it never came to fruition.
Armando Iannucci does have an HBO show called Veep