Continuity Snarl: Is the show in canon with Wacky Races, or is it an Alternate Universe? The presence of the Mean Machine suggests they take place in the same universe, but if they do, is it a prequel or a sequel? Wacky Races appears to take place in later time period than Dastardly and Muttley, but how long, given that they look roughly the same age in each series?
Cerebus Retcon: Why does Dick Dastardly cheat in every Wacky Race? Because he's a destitute veteran desperate for money in the crippled post-War economy of Weimar Germany.
Ear Worm: STOP THE PIGEON!, STOP THE PIGEON!, STOP THE PIGEON!, STOP THE PIGEON!, STOP THE PIGEON!, STOP THE PIGEON!, STOP THE PIGEON!
The background music, especially the rinky-tink piano chase music, would be used on numerous H-B shows henceforth up to around 1980. The New Scooby-Doo Movies episode "The Ghost of the Red Baron" uses it virtually exclusively.
If the Vulture Squadron are on the side of the Central Powers, it's possible that Klunk is from a non-German speaking nationality, most likely Hungarian, who knows enough conversational German to get by but not enough to communicate technical details. Therefore, his random sound effects may simply be him speaking broken German and using words from his native language, which Dastardly doesn't understand but Zilly does.
Getting Crap Past the Radar: In "Medal Muddle", a picture of a female dog standing in a Pin-up Girl pose is shown on the wall over Muttley's bunk.
Hilarious in Hindsight: Muttley growling at Dastardly to be included at a furlough Dastardly had just claimed as his became even funnier with how Muttley would later react in Yogi's Treasure Hunt whenever Dastardly claimed the treasure of the week as all his.