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When Annie agrees to go to Philadelphia, the theme song from Rocky III (1982), Eye of the Tiger, begins to play. The original Rocky movie and much of the sequels are set in Philadelphia.
Anne's "neighbor from hell" Francine's house number is 666.
It is mentioned host Terry McTeer never wears the same bow tie twice which is a direct nod to Vanna White who never wears the same dress twice on Wheel of Fortune.
When Annie is listing Academy Award winners for Best Picture at the auditions for the Quiz Show, she ends with CODA (2021), a film about the only hearing person in a deaf family. When the camera pans to the audience, you can clearly see someone applaud like a deaf person by waving their hands in the air.