Aniki-Bóbó is akin to a children's counting rhyme that has existed in various forms since well before when?
Eeny, meeny, miny, moe "Eeny, meeny, miny, moe"—which can be spelled a number of ways—is a children's counting rhyme, used to select a person in games such as tag. It is one of a large group of similar rhymes in which the child who is pointed to by the chanter on the last syllable is either "chosen" or "counted out". The rhyme has existed in various forms since well before 1820, and is common in many languages with similar-sounding nonsense syllables.
Humpty Dumpty Humpty Dumpty is a character in an English nursery rhyme, probably originally a riddle and one of the best known in the English-speaking world. He is typically portrayed as a personified egg, though he is not explicitly described as such. The first recorded versions of the rhyme date from late eighteenth-century England and the tune from 1870 in James William Elliott's "National Nursery Rhymes and Nursery Songs". Its origins are obscure and several theories have been advanced to suggest original meanings.