We used to sing

" i went to a chinese bread shop, to buy a loaf of bread bread bread
he wrapped it up in a five pund note and this is what he said said said
my name is elvis presley, girls are sexy, sitting in the back seat drinking pepsi
Girls go [something], boys go woo!"

Or

"My mummy told me
If I was goody
then she would buy me
a rubber dolly

My anuhtie told her
I kissed a soldier
Now she won't buy me
A rubber dolly"

skipping rhymes:

Salt, mustard, vinegar, pepper
High, low, medium, slow
forwards, backwards, dolly, stop!

and

Not last night but the night before
24 robbers came knocking at the door
As I went out
to let them in
this is the song they began to sing:

Spanish lady turn around
Spanish lady touch the ground
Spanish lady do a high kick
Spanish lady do the splits!