Fandom Rivalry: With Disney's Aladdin, which clearly borrowed a lot from this film, which was already 20+ years into production when that one was conceived. Richard Williams would regularly show footage of it to the staff of Who Framed Roger Rabbit, many of whom would later work on it, which didn't help. The more pessimistic fans will say that Disney outright stole Williams' ideas, while those more optimistic assume that it was a pre-emptive Shout-Out, as they had no idea if it was ever going to be completed or not.
Fanon Discontinuity: Fans of the film will still defend it as "unfinished" because of how awful the contractually-obligated Mirimax cut, made without Richard Williams, turned out.
Even people who don't like the Richard Williams version will disown the Mirimax version. It is that unpopular.
Also, the film was finally released under the title "Princess and the Cobbler" in September 1993. A month later, Vincent Price passed away. So Zigzag's final line "For Zigzag then, this is....the end!" is kind of particularly disturbing.
Hype Backlash: An increasing number of people are claiming that the film isn't quite the masterpiece its fans make it out to be, feeling that while the animation is top notch the storytelling is weak and several scenes are mainly animation for animation's sake rather than furthering the plot. (As this article puts it, Williams "had 95 minutes of footage for a 79-minute movie.")
Williams himself later said that this contributed to the film's ultimate fate. Because he was never sure when the film was going to be finished, every publicity piece on it had him declaring that it would be finished sometime soon. The fact that it never was ultimately hurt it's reputation and made him look like a liar.
Jerkass Woobie: The Thief, especially if you've seen the Recobbled cut where an old lady, a polo game, a self destructing war machine and even a bed THAT COMES ALIVE FOR NO REAL REASON try to kill him. At the finale, he finally gives up the Balls because he had it up to here with the trouble it caused him.
The Completion Bonds Company, really. Contrary to popular opinion, they did not "steal" the film. Richard Williams had signed a contract with them that said he would complete the film at a fixed date for a specific amount of money, of which he did neither.
Narm Charm: For some, the Calvert and Miramax versions are these.
Special mention for the Thief's snarky inner monologue, which for several is the only redeeming factor of the latter cut.
Overshadowed by Controversy: By this point, the story of the film's exhaustive production, Williams' tenacity to make it perfect, and it's eventual incomplete fate are far more well-known than what actually happens in it.
The Christmas Rushed cut by Fred Calvert. Apart from being glaringly inconsistent, if one studies closely there are a slew of errors (YumYum's feather disappearing and reappearing during the "She is More" sequence, Tack losing his nose for a frame or two as he says "when to a wall you find your back... A TACK!!!!", etc)
Visual Effects of Awesome: Try to remind yourself every ten minutes or so that the film was made entirely with hand-drawn animation, without a computer in sight. Because you will need to.
As one observer remarked, the sequence inside the battle machine "looks as if someone died animating it!"
What The Hell, Casting Agency?: Arguably, Sean Connery as Tack near the end of the Recobbled Cut. Of course, this was Richard William's original intention, somewhat of a joke, since you wouldn't expect such a skinny guy to have such a deep and suave voice.
Played much more straight in the Calvert/Miramax cut, which either completely redid voice tracks or, more infamously, gave previously nonspeaking characters lines in order to have an All-Star Cast.