There is a parody of the 2015 movie Inside Out. You get to see the main 5 emotions from the movie replaced with the characters Homer knows such as: Hans Moleman as Sadness, Comic Book Guy as Disgust, Flanders as Joy, Milhouse as Fear and Groundskeeper Willie as Anger.
The song in the beginning of the episode is a parody of the 1956 song "Tonight" by Ferrante & Teicher, famous for being in the 1961 musical film West Side Story.
A tribute to the victims of the Paris attacks was placed on the marquee for the Broadway show called "Lafayette: The Musical" , an image of the Eiffel Tower standing in the middle of a peace sign -- a now-iconic symbol of unity created by French graphic designer Jean Jullien in the aftermath of the Nov. 13 attacks. This is also a reference to the "Hamilton", a Broadway musical and cultural phenomenon about the life of US Treasury Secretary Alexander Hamilton. It is implied that the marquee is meant to be a parody of Hamilton with the Marquis de Lafayette. The reference is confirmed on Twitter by Lin-Manuel Miranda, the creator, composer, lyrist, writer, and star of Hamilton. 
One of the Broadway shows is called "Candy Crush: The Musical", a reference to the popular facebook and mobile video-game Candy Crush Saga.
During the poker game, when Laney refers to Homer as "fat folds five", it is a reference to American rock group Ben Folds Five.
This is the remaining episode where Sam Simon is credited as "Executive Producer" due to his death in March 8th, 2015. From now on, his name will be under the "Developed By" category. 
The subway scene from one of the promotional videos was completely changed.
Bart seems to be good with a saxophone.
When Ned's cousin is towing the car, Lisa is shown in the back seat, but the family was going to New York to rescue her.
There were no rugs on the stage when the family was talking with Laney and Lisa, but in the same scene, a worker pulls a rug out from under Laney's foot.