How many movies are saluted in other movies?

Rating: Null/10 (19 April 1999)

I show this movie every year in high school, and it takes about an hour for kids to realize it's OK to laugh at the situation as played out. By then they are hooked. George C. Scott is over the top as Curtis LeMay, and Sellers does a great job as Dr. Strangelove, a combination of Herman Kahn, Henry Kissinger, and Edward Teller.
By the way, does anyone know the two hit movies of the 1980's that embedded salutes to this great film? If Dino and The Coens love it enough to do that, I guess it's a good flick.