I like;

On the moor I saw a Plover
And a Curlew called her lover
Peewit Peewit
Spring shall surely come again

and

As I me walked
All on a may morning
I heard a bird sing
Cuckoo

and one which I got from the english translation of a chinese counting game

Peacock feather
On a plum tree limb
You catch me
And I'll catch him