The book is available at Project Gutenberg (I have not checked for other online sources). There's also a free audiobook at LibriVox.
Table of Contents
The Disobedient Woodpecker (French)
Mother Magpie's Kindergarten (Isle of Wight)
The Gorgeous Goldfinch (Roumanian)
King of the Birds (Gascon)
Halcyone (Greek)
The Forgetful Kingfisher (German)
The Wren who brought Fire (French)
How the Bluebird crossed (Samoan)
The Peacock's Cousin (Arabic, Malay)
The Masquerading Crow (Russian)
King Solomon and the Birds (Arabic)
The Pious Robin (Breton, Basque, Greek)
The Robin who was an Indian (Ojibway)
The Inquisitive Woman (Roumanian)
Why the Nightingale wakes (French)
Mrs. Partridge's Babies (Greek)
The Early Girl (Roumanian)
How the Blackbird spoiled his Coat (French)
The Blackbird and the Fox (French)
The Dove who spoke Truth (Welsh)
The Fowls on Pilgrimage (Greek)
The Ground-Pigeon (Malay)
Sister Hen and the Crocodile (Congo Negro)
The Thrush and the Cuckoo (Roumanian, German)
The Owl and the Moon (Malay)
The Tufted Cap (Ainu, Japanese Islands)
The Good Hunter (Iroquois)
The Courtship of Mr. Stork and Miss Heron (Russian)
The Phœnix (Egyptian)