Step 1 : Introduction to the question "Nicolas Cage and Holly Hunter were living in the desert in which 1987 comedy film?"
...All the films listed are comedies from 1987, and Nicolas Cage also appeared in 'Moonstruck', but alongside Cher. 'Raising Arizona' had the unlikely plot of Cage's criminal marrying Hunter's policewoman. They then kidnap a baby, one of quins, presumably thinking the parents wouldn't miss just one. After a series of complications, plots and counter plots, they return the child to his rightful home. 'Baby Boom' starred Diane Keaton and 'Adventures in Babysitting' featured Elisabeth Shue.