Ambleside Books Online Year 2

An Island Story by HE Marshall ch 22-60 1066-1553, Harold II-Edward VI, (Our Island Story is the same book) Free Audio at Librivox Part 1, Part 2. Kings and Queen timeline figures here.
This Country of Ours (TCOO) by HE Marshall ch 1-5
The Discovery of New Worlds by MB Synge ch 12-29

The Little Duke by Charlotte Yonge. Text also here.

The Burgess Animal Book for Children by Thornton Burgess
Walter De La Mare
Eugene Field and James Whitcombe Riley
Christina Rossetti

Tales from Shakespeare by Charles and Mary Lamb
Pilgrim's Progress Book 1 (Christian's Journey) by John Bunyan
Parables from Nature by Margaret GattyPurchase
Understood Betsy by Dorothy Canfield Fisher
The Wind in the Willows by Kenneth Grahame (we recommend the edition illustrated by Ernest H. Shepard)
Robin Hood by Howard Pyle. Now available as an unabridged audio with British accent from Audible.com.

Heidi by Joanna Spyri. Heidi wasn't written in English, and there are various translations out there; some leave things out. Look for one that has all of the chapters and includes the hymns. Beautifully illustrated, unabridged "gift edition" online here, and one with Jessie Wilcox Smith illustrations is here (although this one may not be complete).

A Wonder Book by Nathaniel Hawthorne
Tanglewood Tales by Nathaniel Hawthorne
Five Little Peppers and How They Grew by Margaret Sidney
Hans Christian Andersen fairy tales
Pied Piper of Hamlin by Robert Browning
Five Children and It by Edith Nesbit
The Story of Doctor Dolittle by Hugh Lofting
Otto of the Silver Hand by Howard Pyle