These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Contested Sequel: when Kitty Galore was announced, many people were somewhat skeptical as to why a fairly mediocre family spy spoof needed a sequel. Close to a decade after the first. Not to mention its horrendously low Rotten Tomatoes score. Of course, YMMV if it's justified or not.
Evil Is Cool: While the movie gets flak from cat lovers for making all felines villainous, it does redeem itself a bit with this trope, with Mr Tinkles and his henchmen often claiming more amusing personalities and gags than the heroic dogs.
Fridge Brilliance: The sequel has a quick joke about the "spread of feline extremism." This helps to explain why cats were originally regarded as evil- It's equivalent to how so many Americans think of Arabs. And of course, even if the majority of enemies we face all are the same race/religion, they are only the worst of the bunch. So Catherine's like an Arab in counter-terrorism.
A quick comment by Catherine indicates that MEOWS' primary purpose is to protect humanity from canine threats (their claim of jurisdiction on Kitty Galore is her being ex-MEOWS), just as DOG focuses on feline threats. Of course both sides are going to be reflexively suspicious of the other: they keep on meeting the worst of the other species.
Fridge Horror: Where do you think Kitty Galore got her puppy outfit from?
Take a look at what Kitty Galore's evil plan was. Realize that the key device wasn't shut off until the effect had traversed most of the western hemisphere...
Unfortunate Implications: The good guys, the dogs, are all Americans and American Marines. The evil cats are: Two Siamese acting out Asian stereotypes, a Russian Blue with Russian accent and the terrorist Big Bad is a Middle Eastern breed.
Probably intentional, as villains in spy movies (and this IS a spy spoof after all) are usually evil foreigners.