Here are some that might have at least some of what you want:
The Hundred Dresses - Eleanor Estes
This might come the closest to what you're looking for, though the ordinary childhood meanness in it might not be quite bad enough to be called evil. The main character participates in the meanness, but comes to regret it.
The Coat-Hanger Christmas Tree - Eleanor Estes
I just read this one to my kids and loved it. (Sadly, it seems to be out of print.) There's no evil in it and no bad guys, just a loving mother who wants something different from what her kids want, and kids who are sad as a result. Marianna's mother has never let her kids have a Christmas tree, even though they really, really want one, but this year they hope they can finally talk her into it. She doesn't end up changing her mind, but Marianna comes up with a compromise that makes everyone pretty happy.
Ronia the Robber's Daughter
This is one of our all-time favorites. Ronia's father loves her dearly and is a good guy in a lot of ways, but he's also an unrepentant robber with a big temper, and when Ronia befriends the son of a rival robber he can't forgive her. Or so it seems at first, but eventually it turns out that he can, and it also turns out that the rival bands of robbers can stop hating each other and join forces - and even grudgingly accept the idea that the kids won't be carrying on the robber tradition.
Tove Jansson's Moomin books
I love these books. There's no evil here, but there are characters who are not only good but also foolish or annoying or selfish. There's Little My, one of my favorite characters ever, who is cheerful and fearless but also entirely self-centered. She's not exactly bad, but you might not be able to call her good, either. There's also the Groke, who is dangerous, but not evil. In Moominpappa at Sea, Moomintroll sort of makes friends with her.
Cornelia Funke's Inkworld series (Inkheart, Inkspell, Inkdeath)
This has some people who are just purely evil and must be fought and destroyed, but others who are more nuanced and do both good and bad things. One of the main characters evolves in an interesting way that's exactly the opposite of what you're looking for: he starts out as utterly non-violent, but eventually finds that he can't fight evil and violence without becoming violent himself.
There are "good guys" and "bad guys" in this book, but the bad guys aren't all that bad, and the good guys aren't particularly good. There's Tinkerbell, for instance, who hates Wendy and tries to kill her, and very nearly succeeds (but later drinks poison to save Peter.) And here's Peter, when Wendy, John, and Michael are flying with him to Neverland:
Certainly they did not pretend to be sleepy, they were sleepy; and that was a danger, for the moment they popped off, down they fell. The awful thing was that Peter thought this funny.
"There he goes again!" he would cry gleefully, as Michael suddenly dropped like a stone.
"Save him, save him!" cried Wendy, looking with horror at the cruel sea far below. Eventually Peter would dive through the air, and catch Michael just before he could strike the sea, and it was lovely the way he did it; but he always waited till the last moment, and you felt it was his cleverness that interested him and not the saving of human life. Also he was fond of variety, and the sport that engrossed him one moment would suddenly cease to engage him, so there was always the possibility that the next time you fell he would let you go.