Airplane! also features tons of other TV and movie references doesn’t it? Basically what would have happened in these well known shows and movies when you add absurd scenarios while still playing it straight (the joke is never acknowledged of course!).
Not just jokes and scenarios - it's full of many actors that for years (and decades) played very serious "leading man" type roles. Seeing all these all-american heroes just being utter idiots helped make it so impactful.
