When Homer walks onto the beach he is dressed like Ursula Andress in Dr No.
The first time since The Great Simpsina (2011) that Lisa's interest in stage magic is addressed. Both episodes feature guest appearances by magician David Copperfield.
The Couch Gag is a reference/Spoof of "Fed Up - Simon's Sister's Dog with the RSPCA" by Popular Youtuber 'Simon's cat'
Bret Mckenzie is the vocals of fictional boy band "Doe Eye Boys"
During the concert, in which boy band Doe-eyed Boys are playing, a screen behind them flashes YVAN EHT NIOJ (and then flashes JOIN THE NAVY). This is a reference to Season 12 Episode 14 "New Kids on the Blecch" in which Bart, Milhouse, Ralph and Nelson are in a boy band, which turns out has hidden messages in their music with "YVAN EHT NOIJ" showing up in one of their music videos.