This is a question for people who don't like, and even people who do, like Superman. What is your biggest problem with the character?
I realize that his power level is seen as something pretty ridiculous and hard to believe. But, given Thor, Spider-Man (especially recently), various other high-end Marvel characters I'm pretty sure this is just a relic of the Silver Age and this view is held by people who haven't read the Byrne and Jurgens era Superman.
Now, I love the character. I think there's no more quintessential superhero and I'm a huge fan of the epic sagas that Superman, occasionally, does so well. What I don't like, however, is the slow eradication of the '80s and '90s era stuff. Yes, Superman Blue was dumb. A competent Jimmy Olsen, an interesting Daily Planet staff, a more believable Clark Kent, and a Lex Luthor who was all but untouchable were pretty awesome. I also miss the crusader Superman, the one from the earliest issues of Action Comics. Superman used to fight against the mafia, wife-beaters, political corruption and those early stories have such an incredible vibe to them. The Superman-as-messiah analogue is all well and good, but I really think that the Man of Steel would be better served if the stories were brought back down to Earth.