Connie (voiced by Maya Rudolph) makes a comment referencing the Paul Thomas Anderson movie "There Will Be Blood". Interestingly, Maya Rudolph is long time girlfriend and mother to 4 children to Paul Thomas Anderson in real life.
The way Andrew says "someone's in here!" in the bathroom is a reference to the voice actor's (John Mulaney) stand up routine "New in Town".
When Jessi says "oh hi Mark" to the tampon named Mark, it's a reference to "The Room."