The opening sequence of Greek shows an aerial overview of the Stanford campus.
The Simpsons contains several references to Stanford. Typically these references are derogatory since most of the Simpsons writers studied at Harvard.
In Brawl in the Family, Bart teases Lisa with "You're going to Stanford, you're going to Stanford..." after she is concerned whether being arrested reduces her chance to be accepted by an Ivy League university.
Nina Rosario, a main character in In the Heights, is a scholarship recipient at Stanford but announces in Act I that she has dropped out. By the end of the last act, she has decided to accept her parents' financial help and reenroll.