[SuzL]

I've always liked these ones:

Little Miss Muffet

Little Miss Muffet sat on a tuffet,
Eating her curds and whey;
There came a big spider, who sat down besides her
And frightened Miss Muffet away.

The Mulberry Bush

Here we go round the mulberry bush,
the mulberry bush, the mulberry bush,
here we go round the mulberry bush,
so early in the morning!

This is the way we wash our face,
wash our face, wash our face,
this is the way we wash our face,
so early in the morning!

This is the way we comb our hair,
comb our hair, comb our hair,
this is the way we comb our hair,
so early in the morning!

This is the way we brush our teeth,
brush our teeth, brush our teeth,
this is the way we brush our teeth,
so early in the morning!