The main character on the news are refered as "Mad Max Grabelski".
In the cave scene Uncle Fester is mentioned in a joke.
Max says after sexual intercourse, "the man has a cigarette and watches a little Leno."
A reference to Home Alone 2 when Max gets hit in the head with a rock. In Home Alone 2 the same actor gets hit by a brick.
The whole intro with the song "Stayin' Alive" is a spoof of this movie.