Air Vent Passageway: Parodied. It takes him a couple tries to find the right one, but there seem to be several more than strictly necessary. One of them inexplicably leads to a toilet bowl.
All Germans Are Nazis: Parodied. The Germans in the movie are supposed to be East Germans, but their uniforms are Nazi-era uniforms with the swastikas removed. (DDR (East German) uniforms did look closer to Nazi uniforms than West German uniforms, so there's a touch of Truth in Television in there.)
Aside Glance: Several times; at one point Nick even winks at the camera.
As Long as It Sounds Foreign: Most of the German dialogue is unrelated phrases of Yiddish; the few times it is actually German... well, see Bilingual Bonus. Other scenes have English running backwards, and Latin (Pig or otherwise).
Assumed Win: Nick turns a planned operatic performance into a rock concert through this type of mistake.
Badass: Parodied in Chocolate Mousse. The first thing we see him doing is sitting around, being a Scary Black Man, smoking a huge cigar. When his name is called, he grunts in acknowledgment and eats his cigar. Later he drinks gasoline from a bottle, singlehandedly wields a cannon as a firearm, exhibits Improbable Aiming Skills, wrestles a German soldier WWE-style, and apparently has people waiting just off-camera to hand him machine guns.
Code Name/Theme Naming: Parodied. One group has French phrases for code names, and another has food names.
Du Quois: This is Chevalier, Montage, Detente, Avant Garde, and Deja Vu. Deja Vu: Haven't we met before, monsieur? Nick Rivers: I don't think so. Du Quois: Over there, Croissant, Souffle, Escargot, and Chocolate Mousse.
In the German translation, for unexplained reasons, the names of the first group are replaced with nicknames for traitors like Rat, Goldfish, Mole, etc. Here adding to the joke that previously someone suspected a mole in the group.
Circular Drive: A seemingly endless parade of military vehicles passes the camera...until the camera cranes back, revealing it's the same six vehicles driving in a circle.
Nick, when told by Dr. Flammond about an invention that can cheaply separate salt from seawater and asked if he understands what it means for the starving nations of the world (e.g. no more water shortages), answers: "Wow, they'd have enough salt to last forever!"
Nick: I'm not the first guy who fell in love with a woman that he met at a restaurant who turned out to be the daughter of a kidnapped scientist only to lose her to her childhood lover who she last saw on a deserted island who then turned out fifteen years later to be the leader of the French underground. Hillary: I know. It all sounds like some bad movie. (Aside Glance)
Every Car Is a Pinto: Parodied, as the Pinto is the only car in the entire film to explode — with the tiniest, most gentle nudge. The military vehicle that crashes into it manages to leave the scene of the accident successfully, despite being on fire. "You've got to hand it to the Germans — they make great cars."
Everythings Better With Cows: Two characters infiltrate a top secret facility by dressing as a cow and mingling with the local herd thereof. Cows, that is, not a bunch of idiots dressed like cows. And then a bull comes...
Fake-Out Make-Out: Nick and Hillary manage to combine this with Lost In A Crowd, avoiding a patrol by ducking into a park crowded with couples making out and doing likewise.
Fictional Sport: Skeet surfing - combining skeet shooting with surfing (complete with a parodic Beach Boys style surf song) in the opening sequence. This of course isn't even at Fridge Logic levels of plausibility - salt water and shotguns really do not mix and the idea of trying to shoot a small fast moving target while trying to stay upright on a surfboard without being able to use your arms to balance and not falling off due to the recoil - well you get the idea. Not to mention the only safe way to do this would be on a completely deserted beach with an automatic skeet shooter otherwise stray shots would be very likely to hit the crowd, the skeet shooter operator, fellow shooters etc.
Hollywood Magnetism: Dr. Flammond develops the Polaris magnetic mine. Instead of being attracted to ships and blowing them up like a regular magnetic mine, it's so powerful it drags ships to itself from hundreds of miles away.
Hope Spot: The phone conversation about the man Rivers sent to the hospital.
Streck: What is the condition of Sergeant Kruger? Very well, let me know if there is any change in his condition.
German Officer: "What he did not realize was that, in this country, we use 220 volt current. He was found impaled upon a large electrical device. Our surgeons did what they could, but it took them two hours just to remove the smile from his face."
Nick and Hillary go through the following exchange at a restaurant:
Hillary: "My name is Hillary. It means, 'She whose bosoms defy gravity.'" Nick: (after a beat) "My name's Nick." Hillary: "Nick! What does that mean?" Nick: "I don't know; my father thought of it while he was shaving."
Nigel "The Torch" — Hillary carries a torch for him. Also, there is another way to interpret "torch".
Hail, hail East Germany, land of fruit and grape Land where you'll regret if you try to escape No matter if you tunnel under or take a running jump at the wall Forget it, the guards will kill you, if the electrified fence doesn't first.
Sexy Discretion Shot: To a fireplace. When the couple rolls into view in front of the fireplace, the camera pans again—to another fireplace. In some cuts, the camera eventually pans to a window with a view of a burning building. Further parodied some minutes later when a kiss between the two parachuting protagonists cuts to a fireplace hanging from another parachute.
Those Two Bad Guys: The blind Bruno and the moronic Klaus who only reads the New York Post.
Those Wacky Nazis: While the East Germans are primarily portrayed as parodic communist versions of Nazis, there are frequent direct references to them in the sight gags, such as a novelty clock in the malt shop portraying a cartoon Adolf Hitler whose arms are the clock hands, and General Von Streck passing the time by reading "Hermann Goering's Workout Book."
Traintop Battle: Parodied hard. The bad guy owes the transit authority a new bridge.
What Happened to the Mouse?: The Resistance may have rescued the man being forced to build the Polaris Mine, but they left the nearly complete mine behind, along with whatever plans there were. What's keeping the Germans from having someone else finish it and using it at a later date?