There are tons of good books out there about ordinary kids.
Some she could likely read herself:
The Jamie and Angus Stories - Anne Fine
The Children on Troublemaker Street - Astrid Lindgren
The Children of Noisy Village - Astrid Lindgren
Did You Carry the Flag Today, Charley? - Rebecca Caudill
Happy Little Family - Rebecca Caudill
Betsy-Tacy - Maud Hart Lovelace
Ramona the Pest - Beverly Cleary
Little House in the Big Woods - Laura Ingalls Wilder
Sadie and Ratz - Sony Hartnett
Freckle Juice - Judy Blume
the Horrible Harry series - Suzy Kline
the Stink series - Megan McDonald
the Judy Moody series - Megan McDonald
the Clementine series - Sara Pennypacker
Stuart Goes to School - Sara Pennypacker
Gooney Bird Greene - Lois Lowry
the American Girl books
the Sophie books - Dick King-Smith
The Boxcar Children - Gertrude Chandler Warner
the Nate the Great series - Marjorie Weinman Sharmat
And some you might need to read to her:
Day of the Blizzard - Marietta Moskin
All-of-A-Kind Family - Sydney Taylor
Understood Betsy - Dorothy Canfield
Star in the Storm - Joan Hiatt Harlow
Ginger Pye - Eleanor Estes
The Trolley Car Family - Eleanor Clymer
Swallows and Amazons - Arthur Ransome
Mr. Popper's Penguins - Richard and Florence Atwater
The Secret Garden - Frances Hodgson Burnett
A Little Princess - Frances Hodgson Burnett
Nim's Island - Wendy Orr
Many of the above have sequels, too. Most of the ones I listed are about pretty ordinary events, but a few of them, like Nim's Island or Mr. Popper's Penguins, are about ordinary people but aren't realistic or typical of ordinary life.
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