This activity will keep kids occupied for ages as the fun doesn't stop when the craft is completed.
You can either make the pictures obviously mismatching, so that your child has to match them up properly (this version is good for young children identifying animals, but it turns the craft into more of a parental exercise as those children won't be able to make it themselves), or make sure the heads and bodies of all the animal line up together so kids can come up with some crazy creations.
An elephant with a horse's head
Time: 40 minutes
Age: Under 5's, 5-10's
Paper (multiple sheets)
Fold the sheets of paper in half.
Cut along the fold.
Repeat the process so the sheets become even smaller.
I repeated the process again (leaving one sheet out so it can be the cover) but you can leave the sheets the size they are.
Cut your cardboard to size (the size of both sets of sheets next to each other).
Staple half the sheets to one side of the cardboard and the other half to the other side.
Draw animals across the sheets so that their heads are one one piece of paper and their bodies are on the corresponding piece next to them (it's a good idea to practice on another piece of paper first).
Staple the whole sheet you had left over to the top.