AU. The Horcruxes were destroyed before the attack on Godric's Hollow - leaving Voldemort dead for good. Harry still became the Boy-Who-Lived, although he was blessed with his parents staying alive. What difference did having his parents with him make as he grew up? Well, he refused to go to Hogwarts for a start… [ongoing frequent updates]
After her high-school-romance-turned-marriage went wrong, Hermione found herself back living with her parents with no job to speak of. An opportunity arises one day and she becomes Draco Malfoy's personal assistant. It can't be that bad, can it? Modern non-magic AU
The day that Harry's Hogwarts letter came, it was Petunia who picked up the post. She wrote a reply, refusing the acceptance letter. Therefore, Harry never went to Hogwarts – but that doesn't mean he never learnt magic. AU