Am Stram Gram

Gather the players in a circle or line, standing or sitting close enough to point at each other easily.

One player is chosen to recite the traditional nonsense counting rhyme aloud.

As they speak, they point to a different player on each syllable of the rhyme, moving steadily around the group.

Whichever player is being pointed to on the very last syllable of the rhyme is the one selected.

That selected player is then either declared "it" for the next game, or given first turn, depending on what the group needs the rhyme to decide.

Repeat the rhyme as many times as needed whenever a new game requires picking a starting player fairly.