The Pope moves like the Bishop, except that when moving the Pope, you get to change the rules as you go along.
The Evangelical Pastor moves like the Pope, except that the rules of New and Improved Chess strictly forbid you to admit that you have changed the rules. Therefore, you change the rules retroactively to the beginning of the game and pretend not to have done so at all.
The Politician can be moved to any space where your opponent can immediately capture it. When your opponent moves to capture your Politician, you select a Pawn to be captured in the Politician's place.
The Journalist does not actually move at all. Instead, when you wish to play the Journalist, you simply lecture your opponent on what has happened in the game so far, while seriously misrepresenting most of it. Your opponent can then either use his own Journalist or, more likely, simply ignore you.
The Crony Capitalist can engage in castling with the Politician, like the King and the Rook. Another way to use your Crony Capitalist is to wait until your opponent has gotten up to get a beer and then rearrange the pieces so that your Crony Capitalist can easily checkmate your opponent. Another new piece, the Lobbyist, helps here. If your opponent questions you on this, you should use either your Journalist or your Evangelical Pastor.
You can move the Route 1 Driver whenever you please, regardless of whether it's your turn. The Route 1 Driver occupies between two and four spaces on the board. You got a problem with that?
Everyone knows what a vitally important piece the Famous-for-Being-Famous is, although no one can remember the last time the Famous-for-Being-Famous was even placed on the board.