Cut some fabric into pieces for blocks. Have each person sew one or two or three (depending on how many people you have but to end up with 12 blocks) Then draw names to see who gets them. Or have each person bring a certain size block and draw for them.
You could also play a name the block game. One of the magazines Quilter's World perhaps, used to do that. Have a black and white rendition of the block and ask what it's name was. You could make up however many you wanted and then copy them.