How about seeing how well we know/dont know eachother?
The idea being, lets say I started it off, I would think of a particular member, and you would ask questions to see if you can guess who I am thinking of.
Things like....
If this person were a fruit, what kind of fruit would they be?
or
If this person were a colour, what colour would they be?
Sort of how your subconcous associates things with people.
Does that sound interesting or too complicated?
I am sure many of us have played games like this before.