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.
Peter Peter Pumpkin Eater "Peter Peter Pumpkin Eater" is an English language nursery rhyme. It has a Roud Folk Song Index number of 13497.