Can you do a running dictation? Type up a simple dialogue, tape one at the front and one at the back, and put the students into groups. One student at a time can leave the table to look at the dialogue, memorize as much as they can, then run back and repeat it to the group, where one person is the "writer" and is writing it down. The first group to finish the dialogue correctly wins. The hard part is making sure only one student stands up at a time, and that they're actually running back and forth rather than standing there and yelling it back to the group.
@Eden - if your classroom is too small for running dialog, you can always change it up a bit and make it the silent telephone game
I sometimes print out the dialogues then cut them into one line chunks. Give each kid a complete set and then have a competition to see who can reassemble the quickest. Pretty similar to the running dictation but good if you have kids that get out of control if you have them leave their desks.