Does it really need to be said, I do not own the books.
Hermione getting her Hogwarts letter;
The mail slot made a snick as several papers came sliding into their home. Mr. Granger made no move to go and get them, to invested in listening to his daughter chatter happily about a school report she had done. Having made the top grade from everyone in her school, she was quite proud of her achievement and had been going on about it most of the summer. Of course her parents had congratulated her and rewarded her for this, but now three weeks into her summer vacation, they had expected her to move on to a new project.
Hermione however seemed fixated on her study of owls and would not get off the topic. She had done extensive research, even pushing back to almost ten years ago when an unexplained pattern had emerged in the owl behavior for a brief period of time. Finally her mother was forced to cut her off saying, "Hermione dear, why don't you go hang out with your friends outside for a while today?"
Her daughter's face fell at once, and she muttered something indistinct about the mail as she hopped away from her breakfast. The parent's exchanged upset looks, as bright as their daughter was they were rather concerned Hermione never seemed to get along with her school mates much, but didn't get a chance to bring it up for the rest of the summer, to full of the new life their daughter was in.
When Hermione came back into the kitchen, giving most of the mail to her parents and then taking her own seat back to open her own bit of mail, with an odd stamp on the back; consisting of a coat of arms with a Lion, a Badger, an Eagle, and a Snake.
There's not really much of a point to this one so much as I like the idea that Hermione was always a bit standoffish...