Last night while Watching 'Chuck', they played a made up board game called Know Ya. It basically looked like players took turns answering questions and others would guess what their response would be. If you matched answers then you could advance your playing piece on the board.
It's nice to see board games being played in primetime. While the game might not be one on the market, there are plenty of getting-to-know you type of games.
One that immediately sprung to mind was Loaded Questions where players answer questions like "who is your favorite super hero?" Other players try to guess the correct response.
There are probably other board games that are good to get to know you board games. What games do you like to play to get to know people better?