I've been watching "The Thick of It" lately. Naturally, I love the series and think Malcolm Tucker is one of the best characters ever. I still prefer Veep overall, which might be my fault as I generally find comedy to land with much more impact in American connotation than that of British. It's an excellent and very smart series, nonetheless.
I remember one of the scant amount of early media criticisms of Veep being that it isn't cynical enough. That has changed in later seasons, of course, as we've witnessed the inner operations of the Presidential circle where actions have highest consequence.