Well, there is the story of the three pigs. I've never heard of any other pig rhyme except this one:
This little piggy went to market,
This little piggy went home,
This little piggy had roast beef,
This little piggy had none,
And this little piggy cried whee, whee, whee, all the way home.
The nursery rhyme that references tic-tac-toe is "Three Little Kittens." In the rhyme, the three kittens are playing the game and one of them loses their mittens.
There are three pronouns in the nursery rhyme "Twinkle, Twinkle, Little Star." They are "you," "I," and "your."
Their mittens.
There were 3 men in the tub - a butcher, a baker and a candlestick maker.
According to the nursery rhyme, the three bears loved porridge.
Old king Cole was a merry old soul and a merry old soul was he He called for his pipe and he called for his bowl and he called for his fiddlers three.
Three Blind Mice
"and they began to cry, "Oh Mother dear, we sadly fear our mittens we have lost."
The king, the queen and a maid
he butcher, the baker & the candle stick maker
The nursery rhyme is "Rub-a-dub-dub." It tells the story of three men in a tub - the butcher, the baker, and the candlestick maker.
"Three score and ten" in the nursery rhyme "The Four and Twenty Blackbirds" refers to the number 70. In the context of the rhyme, it signifies the age of the "old woman" who was baking the pie with the blackbirds in it.