I read the first few HP, and thought they were dreadful, and thus never read the later ones, so maybe I'm not the person you want advice from, but here are some recommendations of novels/novelists in the same genre (fantasy novels, written for children, that hold up for adults):
Nearly anything by Dianna Wynne Jones, but I particularly enjoyed The Lives of Christopher Chant, Archer's Goon, and of course Howl's Moving Castle.
Susan Cooper's famous Dark is Rising series. Half the series is more normal-kid (starting with Greenwitch), half is more special-magic-kid (starting with The Dark is Rising).
Garth Nix's Old Kingdom, starting with Sabriel.
While China Mieville is very much not a children's author (really! don't buy a random mieville book for your young niece/nephew, really don't!), Un-Lun-Dun is an amazing book in this genre.