This was the last Barney & the Backyard Gang video to feature the darker blue-violet Barney costume. It's also the last to feature Sandy Duncan as Michael and Amy's mom, Bob Reed as Micheal and Amy's dad, and Salim Grant as Jason.
In this episode it is revealed that Luci and Tina are sisters
The first Barney And The Backyard Gang video to happen chronologically, since the kids (except for Michael and Amy) are meeting Barney for the very first time.
According to Brian Eppes, production for The Backyard Show (1988), Three Wishes (1989), and A Day at the Beach (1989) began production at the summer of 1988 in one time.