Here is a rhyming song game that kids enjoy.
You take an animal, chose a characteristic or body part, and rhyme another animal with the body part. Add a far away and/or strange sounding place name and you get the following:

Oh, the monkeys have no tails in Zamboango,
Oh, the monkeys have no tails in Zamboango,
Oh, the monkeys have no tails they were bitten off by whales,
Oh, the monkeys have no tails in Zamboango,

Or,

Oh, the Zebras have no stripes in Kalamazoo,
Oh, the Zebras have no stripes in Kalamazoo,
Oh, the Zebras have no stripes they were stolen by the Snipes,
Oh, the Zebras have no stripes in Kalamazoo

If the children are quite young you may have to suggest some body parts or characteristics that rhyme well. Examples are:

Knees/Bees; Bats/Hats; Cow/Eyebrows; Bear/Hair; Skunks/Trunks; Ants/Pants; Giraffe/Laugh, etc.

So you might sing (to any melody that fits):

The Hyenas do not laugh in Turkistan,
The Hyenas do not laugh in Turkistan,
The Hyenas do not laugh, they're irritated by Giraffes,
The Hyenas do not laugh in Turkistan,


Cheers, Chance