Towards the end of the first episode, Kristy and her mom are having a heart to heart in Kristy's room. In a voice over, Kristy says that her mom is not "totally clueless." Alicia Silverstone played the main character Cher in the movie Clueless, from the 1990's. One of her voice over lines was actually, "I was totally clueless!"
Karen tells Mary Anne a witch lives next door. The first book in the Baby-Sitter's Little Sister series was "Karen's Witch".
In the final shot, Kristy grabs a red visor and sits in a directors-type chair. This is a reference to the cover of the original "Kristy's Great Idea" book, which featured Kristy in the same type of chair wearing the same red visor.
The club's landline telephone is said to have been from 25 years ago, which means 1995, since the show is assumed to take place in the current year of 2020. 1995 is the same year that the theatrical movie The Baby-Sitters Club (1995) came out, which was the last Baby-Sitters Club production before this series.