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.
Foe Yay: Elmer is always smitten by Bugs' cross dressing antics. It says something when at least two cartoons end with Bugs marrying Elmer.
The icing on the cake is that Bugs doesn't seem to mind at all to kiss him or be held by him, in fact, he seems to enjoy it. Then again, he is a savvy, iconic trickster and a Magnificent Bastard to boot...
This does not only happen with Elmer. There has been Foe Yay moments with any of his opponents at some point (Yosamite Sam, K-9 etc.)
"Funny Aneurysm" Moment: In "Falling Hare", Bugs narrowly stop the Gremlin from crashing into a pair of identical twin skyscrapers by flying in between them. Not sixty years later...
Hilarious in Hindsight: In 'Rebel Rabbit' bugs finds out that the reward for Foxes is $50, but the reward for rabbits is $.02. When he goes to Washington to complain about this, he's told its because Foxes are destructive, but rabbits are harmless... Maybe Bugs decided to prove them wrong by sending some relatives down under.
Sophomore Slump: The second official Bugs cartoon, "Elmer's Pet Rabbit" is commonly regarded as one of the worst in the series, owning to Bugs's extremeJerk Ass behavior, off-model use of yellow-colored gloves, a voice that doesn't sound anywhere close to his iconic semi-Brooklyn accent, as well as the sloppy timing that Chuck Jones's earlier efforts suffered from.
In fairness, "Elmer's Pet Rabbit" is only nominally considered to be a Bugs Bunny cartoon. Warner Bros. slapped a "Bugs Bunny" title card at the beginning of the cartoon to quickly exploit the unexpected success of the previous A Wild Hare. In actuality, both cartoons were in production at the same time using different variations of the goofy grey rabbit Looney Tunes had been using in numerous cartoons at that point. "Tortoise Beats Hare" is the more proper second Bugs cartoon.
Ugly Cute: Witch Hazel in "Bewitched Bunny". Her reaction to Bugs finding Hansel and Gretel ("Call it a weakness.") is almost Moe.
Unintentionally Unsympathetic: An example self admitted by the creators themselves. Director Friz Freleng was convinced Elmer Fudd was such an incompetent pushover that Bugs came off as bullying him, creating the far more belligerent Yosemite Sam to rectify this.
And then it started to lean too much the opposite way, with Bugs becoming so laid back it became hard for writers to even put focus on him anymore and essentially made him a Hero Antagonist in his own series (Robert Mckimson even stated outright he thought Bugs had no personality during the fifties). Finding the middle ground was apparently very difficult, though given his popularity, they must have gotten right for the audience a good few points.
Values Dissonance: "All This and Rabbit Stew", and most infamously, "Bugs Bunny Nips The Nips". The latter even got the first "Golden Age of Looney Tunes" laserdisc set recalled when it was included on it, replacing it with Racketeer Rabbit. If you can find an unaltered copy of that laserdisc set with the Nips cartoon on it, you've got a nice collectors item on your hands.