The Incredibles won the Hugo for Best Dramatic Presentation, Long Form made in Glasgow in 2005, the first time that I was there in person for the ceremony and I think the first time I voted as well. I had not seen anything in this category and did not express a preference. Voters liked it; it was well in the lead both for nominations and on the final ballot, beating, in order, Eternal Sunshine of the Spotless Mind, Spider-Man 2, Sky Captain and the World of Tomorrow and Harry Potter and the Prisoner of Azkaban.
Since then I have seen the Harry Potter, and started watching Eternal Sunshine… on a plane once but fell asleep. I will give it another go some day; it looked promising and is the only film ahead of The Incredibles on both IMDB ratings (one puts them 1st and 3rd respectively, the other 6th and 16th with Spider-Man 2 top.) It was a Nebula finalist, along with Eternal Sunshine… and The Butterfly Effect, but beaten by The Lord of the Rings: The Return of the King due to the Nebulas' then wacky eligibility timeframe.
I normally do compare-and-contrast photos of actors who have been in previous Hugo or Oscar or Nebula winning films, but since The Incredibles is an animation there's not a lot of point. I'll note that we saw Samuel L. Jackson (Frozone here) as a doomed technician in Jurassic Park, Wallace Shawn (Gilbert Huph here) as Vizzini in The Princess Bride and John Ratzenberger (Underminer here) in small roles in Superman, The Empire Strikes Back, and Gandhi.
I guess that seen from the vantage point of 2005, this looked fresh and interesting and new, an affectionate riff on super-hero stories. (TV Tropes has done a brilliant deconstruction of the themes, as usual.) Fifteen years on, it didn't seem as special to me, with various newer better animations having come in the meantime. I laughed in the right places, but not a lot. Maybe I'm just tired from the Christmas break, and i guess it's entertaining enough, but it didn't do a lot for me; my willing suspension of disbelief must be a bit jaded. I'm putting it about 70% down my list, lower than I've put any Hugo or Nebula winner since The Sixth Sense, ahead of Sleeper but below The Princess Bride.
Next up is Serenity, but before that Oscar-winners Million Dollar Baby and Crash.