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 begining 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.