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.
"Three Little Piggies" is a traditional nursery rhyme about three pigs who build houses out of different materials (straw, sticks, and bricks) to protect themselves from a big bad wolf. In the end, only the pig with the brick house is able to outsmart the wolf and stay safe.
Printed versions go back to at least 1840. Among the oldest published versions are in Uncle Remus: Songs and Sayings (1881), The Nursery Rhymes of England (1886), and English Fairy Tales (1890).
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 are three men in a tub in the nursery rhyme "Rub-a-Dub-Dub."
According to the nursery rhyme, the three bears loved porridge.
The nursery rhyme king who was "a merry old soul" is King Cole from the nursery rhyme "Old King Cole." The rhyme describes him as enjoying music and a good time with his fiddlers three.
Three Blind Mice
The repeated words in the nursery rhyme "The Three Little Kittens" are "kittens" and "lost their mittens."
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.