For a basketball game:
See the basket
See the ball
Come on dummy
Hit the wall
***
For Halloween:
Trick or Treat
Smell my feet
Give me something good to eat.
If you don't I don't care.
I'll pull down your underwear.
***
Roses are red violets are blue
God made me pretty, so what happened to you?
***
Liar, liar pants on fire
***
Beans, beans the musical fruit,
The more you eat, the more you toot.
Продолжение и разные версии есть тут
https://en.wikipedia.org/wiki/Beans,_Beans,_the_Musical_Fruit
И вот еще книга с массой детских игр, популярных ранее в Америке. Интересные там версии Ring around the Rosie, я таких не слышала.
Games and songs of American children
by Newell, William Wells, 1839-1907, Published 1903
https://archive.org/details/gamessongsofamer00newe
А вот здесь есть большой сборник русского игрового фольклора
http://www.unn.ru/folklore/figrfolk.htm
