For the table of contents, check at the bottom of this post below the image.
The book is available at Project Gutenberg, Internet Archive, Hathi Books, and Google Books. You can get a free Kindle eBook from Amazon too, and there is a nice edition at the Gold Scales website.
You can also find La Fontaine's French poems easily accessible at the French Wikipedia (Wikisource) website, with a listing of the fables by book or by title.
Book 1
The Grasshopper and the Ant
The Raven and the Fox
The Frog That Wished to Be As Big As the Ox
The Two Mules
The Wolf and the Dog
The Heifer, the Goat, and the Sheep, in Company with the Lion
The Wallet
The Swallow and the Little Birds
The City Rat and the Country Rat
The Wolf and the Lamb
The Man and His Image
The Dragon with Many Heads, and the Dragon with Many Tails
The Thieves and the Ass
Simonides Preserved by the Gods
Death and the Unfortunate
Death and the Woodman
The Man between Two Ages, and His Two Mistresses
The Fox and the Stork
The Boy and the Schoolmaster
The Cock and the Pearl
The Hornets and the Bees
The Oak and the Reed
Book 2
Against the Hard to Suit
The Council Held by the Rats
The Wolf Accusing the Fox before the Monkey
The Two Bulls and the Frog
The Bat and the Two Weasels
The Bird Wounded by an Arrow
The Bitch and Her Friend
The Eagle and the Beetle
The Lion and the Gnat
The Ass Loaded with Sponges, and the Ass Loaded with Salt
The Lion and the Rat
The Dove and the Ant
The Astrologer Who Stumbled into a Well
The Hare and the Frogs
The Cock and the Fox
The Raven Wishing To Imitate the Eagle
The Peacock Complaining To Juno
The Cat Changed into a Woman
The Lion and the Ass Hunting
The Will Explained by Aesop
Book 3
The Miller, His Son, and the Ass
The Members and the Belly
The Wolf Turned Shepherd
The Frogs Asking A King
The Fox and the Goat
The Eagle, the Wild Sow, and the Cat
The Drunkard and His Wife
The Gout and the Spider
The Wolf and the Stork
The Lion Beaten by the Man
The Fox and the Grapes
The Swan and the Cook
The Wolves and the Sheep
The Lion Grown Old
Philomel and Progne
The Woman Drowned
The Weasel in the Granary
The Cat and the Old Rat
Book 4
The Lion in Love
The Shepherd and the Sea
The Fly and the Ant
The Gardener and His Lord
The Ass and the Little Dog
The Battle of the Rats and the Weasels
The Monkey and the Dolphin
The Man and the Wooden God
The Jay in the Feathers of the Peacock
The Camel and the Floating Sticks
The Frog and the Rat
The Animals Sending Tribute to Alexander
The Horse Wishing To Be Revenged on the Stag
The Fox and the Bust
The Wolf, the Goat, and the Kid
The Wolf, the Mother, and Her Child
The Words of Socrates
The Old Man and His Sons
The Oracle and the Atheist
The Miser Who Had Lost His Treasure
The Eye of the Master
The Lark and Her Young Ones with The Owner of a Field
Book 5
The Woodman and Mercury
The Earthen Pot and the Iron Pot
The Little Fish and the Fisher
The Ears of the Hare
The Fox with His Tail Cut Off
The Old Woman and Her Two Servants
The Satyr and the Traveller
The Horse and the Wolf
The Ploughman and His Sons
The Mountain in Labour
Fortune and the Boy
The Doctors
The Hen with the Golden Eggs
The Ass Carrying Relics
The Stag and the Vine
The Serpent and the File
The Hare and the Partridge
The Eagle and the Owl
The Lion Going To War
The Bear and the Two Companions
The Ass Dressed in the Lion's Skin
Book 6
The Shepherd and the Lion
The Lion and the Hunter
Phoebus and Boreas
Jupiter and the Farmer
The Cockerel, the Cat, and the Young Mouse
The Fox, the Monkey, and the Animals
The Mule Boasting of His Genealogy
The Old Man and the Ass
The Stag Seeing Himself in the Water
The Hare and the Tortoise
The Ass and His Masters
The Sun and the Frogs
The Countryman and the Serpent
The Sick Lion and the Fox
The Fowler, the Hawk, and the Lark
The Horse and the Ass
The Dog That Dropped the Substance For The Shadow
The Carter in the Mire
The Charlatan
Discord
The Young Widow
Epilogue
Book 7
The Animals Sick of the Plague
The Ill-Married
The Rat Retired From the World
The Heron
The Maid
The Wishes
The Lion's Court
The Vultures and the Pigeons
The Coach and the Fly
The Dairywoman and the Pot of Milk
The Curate and the Corpse
The Man Who Ran After Fortune, and the Man Who Waited For Her in His Bed
The Two Cocks
The Ingratitude and Injustice of Men towards Fortune
The Fortune-Tellers
The Cat, the Weasel, and the Young Rabbit
The Head and the Tail of the Serpent
An Animal in the Moon
Book 8
Death and the Dying
The Cobbler and the Financier
The Lion, the Wolf, and the Fox
The Power of Fables
The Man and the Flea
The Women and the Secret
The Dog That Carried His Master's Dinner
The Joker and the Fishes
The Rat and the Oyster
The Bear and the Amateur Gardener
The Two Friends
The Hog, the Goat, and the Sheep
Thyrsis and Amaranth
The Funeral of the Lioness
The Rat and the Elephant
The Horoscope
The Ass and the Dog
The Pashaw and the Merchant
The Use of Knowledge
Jupiter and the Thunderbolts
The Falcon and the Capon
The Cat and the Rat
The Torrent and the River
Education
The Two Dogs and the Dead Ass
Democritus and the People of Abdera
The Wolf and the Hunter
Book 9
The Faithless Depositary
The Two Doves
The Monkey and the Leopard
The Acorn and the Pumpkin
The Schoolboy, the Pedant, and the Owner of a Garden
The Sculptor and the Statue of Jupiter
The Mouse Changed into a Maid
The Fool Who Sold Wisdom
The Oyster and the Litigants
The Wolf and the Lean Dog
Nothing Too Much
The Wax-Candle
Jupiter and the Passenger
The Cat and the Fox
The Husband, the Wife, and the Thief
The Treasure and the Two Men
The Monkey and the Cat
The Kite and the Nightingale
The Shepherd and His Flock
Book 10
The Two Rats, the Fox, and the Egg
The Man and the Adder
The Tortoise and the Two Ducks
The Fishes and the Cormorant
The Burier and His Comrade
The Wolf and the Shepherds
The Spider and the Swallow
The Partridge and the Cocks
The Dog Whose Ears Were Cropped
The Shepherd and the King
The Fishes and the Shepherd Who Played the Flute
The Two Parrots, the King, and His Son
The Lioness and the Bear
The Two Adventurers and the Talisman
The Rabbits
The Merchant, the Noble, the Shepherd, and the King's Son
Book 11
The Lion
The Gods Wishing to Instruct a Son of Jupiter
The Farmer, the Dog, and the Fox
The Mogul's Dream
The Lion, the Monkey, and the Two Asses
The Wolf and the Fox
The Peasant of the Danube
The Old Man and the Three Young Ones
The Mice and the Owl
Epilogue
Book 12
The Companions of Ulysses
The Cat and the Two Sparrows
The Miser and the Monkey
The Two Goats
The Old Cat and the Young Mouse
The Sick Stag
The Bat, the Bush, and the Duck
The Quarrel of the Dogs and Cats, and That of the Cats and Mice
The Wolf and the Fox
The Lobster and Her Daughter
The Eagle and the Magpie
The King, the Kite, and the Falconer
The Fox, the Flies, and the Hedgehog
Love and Folly
The Raven, the Gazelle, the Tortoise, and the Rat
The Woods and the Woodman
The Fox, the Wolf, and the Horse
The Fox and the Turkeys
The Ape
The Scythian Philosopher
The Elephant and the Ape of Jupiter
The Fool and the Sage
The English Fox
The Sun and the Frogs
The League of the Rats
Daphnis and Alcimadure
The Arbiter, the Almoner, and the Hermit
La Fontaine and the History of Fables