Have a Frisbee at the meeting. Throw it around the room and have people that catch it answer a question or tell about themselves to the others in the group. Once that person is finished throw the Frisbee to someone else in the group.
Have the participants line up according to some criteria. It could be according to the alphabet, length of membership, or height. Have each person introduce the person on their left to the whole group. Allow two minutes for the participants to gather information before starting the introductions.
Name Tag Game:
Introduce yourself to another person in the group and after conversing two minutes, exchange name tags. Then share the information about your partner with another member in the organization.