Bart's chalkboard gag is a reference to Atlanta losing the 2017 Superbowl. It's also a reference to how many people say that The Simpsons is good at predicting things, for example, them predicting that Trump would become president in Bart to the Future.
When Homer imagined his family as food, he imagined Bart as a Butterfinger. This is a reference to how Bart used to be star in Butterfinger commercials.
Homer quotes Han Solo's line from Star Wars: The Force Awakens about finding the Millenium Falcon again.
The music that plays when Homer begins remembering the chili dogs is "Flower Duet" from either the opera Lakmé or Madama Butterfly.
At the end of the episode, the theme from the movie Chinatown plays.