Use a black marker to draw a large outline of a rabbit on a white sheet.
Cut out two holes where the eyes would be. (Note: The holes should be at an appropriate height for an average-sized child to see through them. Smaller children may still need to stand on a stool during their turn as the rabbit.)
If desired, draw a nose and mouth below the eyeholes.
Finally, attach two pants hangers to the top of the sheet, and hang it from a doorjamb.
At the Party:
Divide the children into two equal teams, and make sure that each team knows the names of the members of the opposing team.
Send one team into the room behind the sheet, and have the other team sit on the floor facing the sheet.
From the hidden team, select one team member at a time to look through the holes in the sheet.
The opposing team has five seconds to look at the "rabbit's" eyes and guess its identity; they get one point for every correct guess.
After everyone on a team has had a chance to be a rabbit, the teams switch places, and the score is kept for the opposing team's guesses.
The team with the most points after both rounds wins.