Recently, at the Portland Art Museum, they had a wonderful event called the Monster Rally where 3 rounds of 30 artists each drew something to sell for $35 as a fundraiser. It was wildly successful and a deck of cards had to settle battles over several pieces.
As a side activity, there were tables to create an Exquisite Corpse, based on a Victorian parlor game. In this, you have a tall piece of paper - legal size or tabloid work well. You divide it into three equal parts: Head, Torso, Legs.
FOLD it so that you only see one panel - the head.
You need three people for this. Each person has the same type of sheet and each person starts with the head. DO NOT let the others see what you are making. Pencil is fine for this part. Have gum erasers ready, too, and pencil sharpeners.
When each has completed their heads, they fold it to conceal that panel and expose the TORSO - pass to the right or left and each works on the next section. Repeat for the legs/bottom.
The key is, before you pass your panel, you need to carry the lines marking your neck, where they legs go, etc. to the next person so it will line up. otherwise it won't work out.
It helps if the artists each use a heavier stroke. Hard to connect when some are faded. You can color them after, or before you pass them.
Variation with words instead of pictures:
Freeform word game.
Among Surrealist techniques exploiting the mystique of accident was a kind of collective collage of words or images called the cadavre exquis (exquisite corpse). Based on an old parlor game, it was played by several people, each of whom would write a phrase on a sheet of paper, fold the paper to conceal part of it, and pass it on to the next player for his contribution.
The technique got its name from results obtained in initial playing, "Le cadavre exquis boira le vin nouveau" (The exquisite corpse will drink the young wine). Other examples are: "The dormitory of friable little girls puts the odious box right" and "The Senegal oyster will eat the tricolor bread." These poetic fragments were felt to reveal what Nicolas Calas characterized as the "unconscious reality in the personality of the group" resulting from a process of what Ernst called "mental contagion."
In other words, start with part of story, or phrase and write on your third - beginning, middle, end. You could even create the pictures to go with the story. That would be funny.