One game I've used is something I call Fact or Fiction. In this game, you have everyone on the team list three unusual "facts" about themselves on a sheet of paper. One of the three is completely false, the other two are true. Each week in our team meeting, I would pick one or two members to "spotlight" and we would read their facts. Then, everyone would have to guess which were fact and which were fiction. We usually put it to a vote, then we would ask the team member to explain his/her answers. We even developed a scoring system to keep track of who was the best lie detector and gave a prize to the person with the most points when we finished.
If this seems too immature for your liking, you can always try using activities focused on particular IT tasks. A good source for these types of activities is Agile Retrospectives: Making Good Teams Great, by Esther Derby, Diana Larsen, and Ken Schwaber. It has a lot of activities that will challenge your team members to interact, get to know each other and produce something valuable in the process.
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