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.
As I was going by Charing Cross "As I was going by Charing Cross" (sometimes referred to as "As I was going to Charing Cross"), is an English language nursery rhyme. The rhyme was first recorded in the 1840s, but it may have older origins in street cries and verse of the seventeenth century. It refers to the equestrian statue of King Charles I in Charing Cross, London, and may allude to his death or be a puritan satire on royalist reactions to his execution. It was not recorded in its modern form until the mid-nineteenth century. It has a Roud Folk Song Index number of 20564.