I recently played this game with a group of people I'd never met and it worked really well as a get-to-know-you game.
Split your group up into groups of pairs - each person has to spend 3-4 minutes learning three things about the person they have been paired with. For example, their name, their favorite sport and number of siblings.
After 3-4 minutes, reconvene and each person has to introduce the person they were paired with to the rest of the group. For example: "This is Tom, he likes to play baseball, and he is one of three boys".