Couple more I remember:

It's raining. it's pouring,
The old man is snoring,
Went to bed and bumped his head
And didn't get up in the morning.

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Skinny malinx, malarga legs,
Big banana feet.
Went to the cinema
But couldn't find a seat,
When he found a seat,
He fell fast asleep,
Skinny malinx, malarga legs,
Big banana feet.

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There was a little girl
Who had a little curl,
Right in the middle of her forehead.

And when she was good,
She was very, very good,
But when she was bad, she was horrid!

Source: The Real Mother Goose (1916)

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What are little boys made of?
Snips and snails, and puppy dogs tails
That's what little boys are made of !"
What are little girls made of?
"Sugar and spice and all things nice
That's what little girls are made of!