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.
Some of the gods in the TV series have gotten a fan following, especially Aphrodite.
Thalia, the short, fat muse, is pretty much everyone's favorite. Fittingly, Thalia is the Muse of comedy - even in the original myths.
In the Disney canon as a whole, Hades has a similar thing as Frollo going on here; he only appears in one movie, and said movie is generally considered to be one of Disney's weaker works (especially compared to the rest of Renaissance), but he's still considered to be the best thing about the movie, and is many people's favorite Disney villain.
Evil Is Cool: Hades, though anyone with magical powers and the voice of James Woods would be cool.
Genius Bonus: Many, for the Greek mythology buffs in the audience. "Zero to Hero" is full of half-second allusions to Hercules' Labors, famous Greek (and Roman) art, as well as ancient Greek culture.
When the kids are stuck under a rock, they shout, "Somebody call IX-I-I!" Technically wrong (Seeing as this is Greek, not Roman) but if you know your numerals, you know they're saying "Call 9-1-1!"
Greeks Hate Hercules: While the rest of the world's audiences and critics liked the movie well enough (though, of course, not to the extent of The Lion King and the earlier Renaissance films), The Greeks despised this movie, even denying the film a premiere in Greece. Then again, the decision is justified, as the Greeks didn't care much for the many glaring mistakes to their own mythology, even if the rest of the movie was pretty decent. It's kind of similar to how a lot of American historians hated Pocahontas (even though that didn't get banned; it just got slammed with a lot of criticism) while other countries liked it well enough.
Megara, who would make girls who wound up interested in girls look back on moments this may have been incredibly evident in the past (like the moment she appeared on screen and also did her washing-hair-in-the-river-thing), and boys do much the same, likely earlier, possibly whilst swallowing the same way Herc does.
This could be seen as a cartoon analogue of Clash of the Titans, which had Perseus instead (both heroes are already sons of Zeus in the myths, and both of them get Pegasus unlike the myths, and this actually has the Titans).
The part where Herc's foster parents find him up to when he talks with Zeus for the first time would make for a pretty good "Superman: The Movie/Smallville in Ancient Greece" musical.
Squick: The first time we meet Megara is while she is being sexually assaulted by the enormous centaur, Nessus. This ain't one of your happy, frolicking Fantasia centaurs. This becomes even worse to people familiar enough with Greek mythology to recognize the name Nessus. Nessus was a centaur killed by Hercules who tricked his wife into using Nessus's blood to create a poisoned tunic that caused Hercules to die a horrible, painful death.
What an Idiot: For a god, Hades doesn't seem to be all that smart. Two examples stand out:
Hades sent his monsters to deal with Hercules instead of challenging him to a fight. Hercules, as a mortal, can't lay a hand on Hades; he goes right through. It would be an easy win.
Hades gets Hercules to agree to give up his strength for 24 hours while he releases the Titans to take over Olympus. Then he decides to send the Cyclops to kill Hercules. This ignores that sending a giant will likely lead to Megera getting hurt, therefore breaking the deal and Hercules getting his strength back, plus, he ignores that the Fates said ''Should Hercules fight, you will fail", his strength was NEVER stated to be a requirement for him for Hades to fail.
WTH, Casting Agency?: For both Mexican and Latin American viewers, Ricky Martin as the titular Hercules, due to his thick Puerto Rican accent. While the rest of the voice cast was voiced by Mexican voice actors, Ricky Martin's voice really sticks like a sore thumb in the cast. For a better equivalent for English speakers, try to imagine Hercules being voiced by Bob Marley, if he was being alive at the time of the film.note This was Disney's first attempt at using famous artists to voice characters for the LA audience, so you can say they goofed up. Ricky Martin was very famous overall (tough not yet internationally to English audiences) and he was signed to sing the movie's theme song for Herc. It was odd, but he did a rather good job, accent and all. It was the FIRST time it was blatant, previous Disney movies like The Jungle Book did use famous Mexican movie actors for the dub in Latin America (Baloo is voiced by comedian Tin-Tan and is fondly remembered to this day, he repeated in The Aristocats, and also voiced Little John in Robin Hood).
Base Breaker: Icarus. Some fans see him as a crazily awesome, hilarious and occasionally wise character. Others see him as childish and grating.
Crosses the Line Twice: In the episode about Prometheus, rather than dancing around the fact that his liver got eaten by an eagle every day, the writers went out of their way to make every possible reference to it. However, the scene where the eagle visibly pulls his liver out, and then they proceed to argue about the eagle seasoning it while he's eating it, takes the cake.
Hilarious in Hindsight: Before she starred in Frozen, Idina Menzel made a guest appearance as Circe, a singing witch. Later, she would go on to play Elphaba, who just so happens to be a singing witch.
Relationship Sue: Played with; Hercules tried to make one out of clay. It failed; When it was time to create her personality, Aphrodite interpreted "Crazy about Hercules" as a Clingy Jealous Girl. It doesn't take her long before she invokes Ax-Crazy as well. When he tries to fix her personality by making her a "independent woman", she instantly put him in the friendzone.