The personal pronoun in the given sentence "The children showed me their favorite games to play" is "me". It is the object of the verb "showed" and represents the first person singular (the person being spoken to). To identify the personal pronoun in a sentence, you need to look for words that replace or refer to a person or people involved in the sentence. In this case, "me" replaces the speaker, indicating that someone showed the speaker their favorite games.
