I have been looking for books for my 2nd grader too. Here is a list I am looking into (not going to do all of them).
Robinson Crusoe....Daniel Defoe
Gulliver's Travels...Jonathan Swift
Swiss Family Robinson...Johann Rudolf Wyss
Legend of Sleepy Hollow and Rip Van Winkle...Washington Irving
Oliver Twist, Nicholas Nickelby, A Christmas Carol, Great Expectations, David Copperfield, A Tale of Two Cities...Charles Dickens
The Three Musketeers, The Count of Monte Cristo... Alexander Dumas
Hans Christian Anderson
The King of the Golden River...John Ruskin
Jules Verne
Alice's Adventures in Wonderland...Lewis Carroll
A Dog of Flanders...Ouida
Tom Sawyer, Huck Finn...Mark Twain
Black Beauty...Anna Sewell
The Adventures of Pinnocchio...Carlo Collodi
The Merry Adventures of Robin Hood...Howard Pyle
Treasure Island, Kidnapped...Robert Louis Stevenson
Heidi...Johanna Spyri
Litle Lord Fauntleroy, A little Princess, Secret Garden...Frances Hodgson Burnett
The Blue Fairy Book...Andrew Lang (Fairy books of many colors...all available online free see wikipedia for link)
The Jungle Book, Just So Stories...Rudyard Kipling
The story of the Treasure Seekers, Five Children and It, The Railway Children...E. Nesbit
Wizzard of Oz...L. Frank Baum
King Arthur and His Knights...Howard Pyle
Call of the Wild, Wild Fang...Jack London
Rebecca of Sunnybrook Farm...Kate Douglas Wiggin
Peter Pan...J.M. Barrie
Anne of Green Gables...Lucy Maud Montgomery
Wind in the Willows...Kenneth Grahame
The Lost World...Sir Arthur Conan Doyle
Pollyanna...Elenor H. Porter
The Story of Doctor Dolittle...Hugh Lofting
Winnie-the Pooh...A. A. Milne
Emil and the Detectives...Erich Kästner
Swallows and Amazons...Arthur Ransome
Little House in the Big Woods (all the Little House books)...Laura Ingalls Wilder
The Hobbit...J. R. R. Tolkien
The Reluctant Dragon...Kenneth Grahame
Five on a Treasure Island...Enid Blyton
Johnny Tremain...Esther Forbes
The Little Prince...Antoine de Saint-Exupéry
Pippi Longstocking...Astrid Lindgren
The Little White Horse...Elizabeth Goudge
Finn Family Moomintroll...Tove Jansson
The Lion, the Witch, and the Wardrobe (All the chronicles of Narnia)...C.S. Lewis
James and the Giant Peach (and other Dahl)...Roald Dahl
The Phantom Tollbooth...Norton Juster
To Kill a Mockingbird...Harper Lee (one you would want to discuss with her)
A Wizard of Earthsea...Ursula K. Le Guin
A Taste of Blackberries...Doris Buchanan Smith
