Great Shoe Dive
This game works best with lots and lots of players, at least 30-40. Get everyone to take off their left shoe. Put all the shoes in a pile. At "Go!", everyone dives for the pile and grabs a shoe, any shoe. The object of the game is then for each player to find the person who has their shoe and reclaim it!
I learned a couple more variations to this game at the 2005 OCA Conference, at the "No Equipment, No Planning Time, No Problem" session facilitated by Matt Barr.
Once you've retrieved another player's shoe, find the owner. Then you can exchange information about yourselves, such as name, home town, hobbies, etc.