One of the decorative toads in the therapists office is Hypnotoad of Futurama fame.
Missy's experience in the hall of mirrors is based on a scene from Us, directed by Jordan Peele (who is part of the cast of Big Mouth). The actress in the original scene is Lupita Nyong'o, which explains why Missy says "Holy Nyong'o! I'm about to Lupita my pants."
Last episode that Jenny Slate voices Missy Foreman-Greenwald.
Lola and Jay are dressed as Bonnie and Clyde. The "Lola and Jay" song seems to be an homage to "Bonnie and Clyde" song originally sung be Brigitte Bardot and Serge Gainsbourg.