If that sounds like a complicated mish-mash of plot threads, well, that's the point. The narrative structure in TOP SECRET! is really just a framework for the non-stop jokes. Yes, some of the lines are stinkers, and some must have seemed funnier in the 1980s than they do today. But there are so many jokes, puns, sly references, sight gags, and recurring bits that two or three strike home for every one that misses the mark.
The film was directed by David Zucker, Jim Abrahams, and Jerry Zucker, the same genius team that created this spoof genre with their earlier Airplane! movies. This model has been used over and over again, sometimes effectively (the first Scary Movie stands out) and sometimes not (hopefully nobody can Remember the Spartans). Some of the more recent entries in the field seem tired, trying to wring jokes out of obvious references to other pop culture touchstones, but early efforts like Top Secret! had strong scripts and still deliver plenty of laughs. A young Val Kilmer shines, singing, dancing, and delivering one ridiculous line after another with a completely straight face. And look for Omar Sharif in a small role as a nearly-indestructible secret agent.