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.
Big Lipped Alligator Moment: The rather excessively long slapstick chase sequence that happens when Edgar is trying to dump the cats in the countryside. After he loses the basket, the chase still goes on for about five minutes and the whole plot about the cats being abandoned has to stop while we wait for the chase to end.
Marie is getting a disproportionate amount of attention in Japan, and is more frequently featured in Tokyo Disneyland. The reason why? Japanese love kittens.
This has also spread to the rest of Asia. If you're looking for Aristocats merchandise outside Japan, you won't find any outside of the DVD and Blu-Ray, and the occasional novelization and picture book. Marie merchandise, on the other hand...
Much like Duffy the Disney Bear, this is translating back to the American parks: there is now a walkaround character of her who hangs out in Epcot's France pavilion in the World Showcase and recently moved to the Magic Kingdom in Walt Disney World.
Bill Thompson as the hilariously drunk Uncle Waldo. Even the main characters comment on it.
"I like Uncle Waldo."
"Yes, especially when he's 'marinated.'"
Unfortunately, this was also Bill Thompson's final role in an animated film, due to him dying of a heart attack a few months later.
Stop Helping Me!: O'Malley's reaction to Abigail and Amelia, who are under the mistaken impression that he's trying to teach himself to swim when he's really just trying to get to shore after saving Marie.
Values Dissonance: If the film were made more recently, it's seriously doubtful they'd be able to get away with having an Asian cat who has crooked eyes, buck teeth, a thick accent, and who plays the piano with his chopsticks, playing a 'Chopsticks' style melody filled with Asian buzzwords (even worse, Chinese-sounding gibberish in some dubs).
What an Idiot: The entire plot hinges on the fact that Edgar apparently believes cats literally have nine lives. There is also that fact that the Disney Encyclopedia writer, John Grant, points out that had Edgar obeyed the wishes of the will, he would have had a guaranteed job taking care of Madame's "heirs" until he almost certainly outlives them and gets the remainder of the inheritance all for himself.