After escaping a hot-air balloon which took him out to a sea storm, Rocky is flying back to the shore, where he is mistaken for an enemy plane and shot at with flak cannons. In order to prove he isn't an enemy, Rocky flies in a certain pattern to spell out two words. Upon reading them, the general in charge of the air defences orders them to cease fire immediately. The words which rocky spells out: US Taxpayer.
In another episode, Rocky and Bullwinkle are inside of an airplane falling out of the sky (surprisingly, this isn't the first time this has happened to them.) Instead of jumping out, they decide to find a way to keep the airplane afloat. Rocky comes up with the brilliant idea of using hot air, but where are they going to find the hot air they need? Rocky pulls out a copy of the US Congressional Record and tells Bullwinkle to start reading from it.
For those of you not in the know, the Congressional Record can be revised to correct "errors" by the politicians themselves. The "fixes" that can be implemented can be as egregious as adding whole new speeches or removing those in which the politician shot himself in the foot.
The government suffers another shot in the Goof Gas arc, when Boris and Natasha attend a congressional hearing. After the speaker has finished talking gubernatorial nonsense (Specifically, a statement that the government needs to remove the government from the process of running the government):
Natasha: Boris, what he said! You think he's already had Goof Gas?
Boris: Natasha, what he said, that is Goof Gas!
The reveal that Mr. Big is in fact smaller than Rocky.
The show's first real meta gag: after the mooseberry bush dies and Bullwinkle makes off with the mooseberries, only for them to (seemingly) explode and take Bullwinkle out with them, Natasha laments: "thirteen episodes worth of effort, wasted!"
The show has mocked itself several times despite its popularity. Below this paragraph is probably the most famous one from "The Treasure of Monte Zoom": What Rocky & Bullwinkle say after Boris & Natasha decide to use an a-bomb to open the chest.
Rocky: They said "A-bomb." Do you know what that means, Bullwinkle?
Bullwinkle: (looking at us) Neither did they, apparently.
If we can put Fractured Fairy Tales here (since there seems to be no page for their funny moments), the entire "Riding Hoods Anonymous" episode is comedy gold. Especially the running joke about the basket full of (BOOM!) ...goodies.
This from "Lazy Jay Ranch", when the pair finds out exactly what kind of ranch it is:
Narrator: Good heavens, both of our heroes have fainted! What did you tell them?
Lazy Jay: Just told them what we raise on this ranch.
Narrator: Well, what is it?
Lazy Jay: I better whisper. (to the camera) Worms.
Narrator: WORMS?!?! (faints)
Lazy Jay: Well, I'll be doc. He fainted, too.
This conversation between Rocky and Bullwinkle in "Goof Gas Attack".