I am sure many at this site are aware of the
following, but if not or if you are new to the subject and looking to a
cheap way to read, the following are all freely available as on-line
publications.
ANCIENT EGYPT
The Pyramid Texts
Samuel A. B. Mercer , translator [ 1952 ].
Development of Religion and Thought in Ancient Egypt
by James Henry Breasted [1912 ].
Millennia of Egyptian religious evolution as seen through their literature, including extensive quotes from the Pyramid Texts.
The Egyptian Book of the Dead
E. A. Wallis Budge , translator [ 1895 ].
The best known Ancient Egyptian sacred text, which describes the journey into the afterlife.
The Egyptian Heaven and Hell
by E. A. Wallis Budge [1905 ]
A journey through the night side of the Ancient Egyptian cosmos.
Vol I: The Book of Am-Tuat
Vol II: The Book of Gates
Vol III: The Egyptian Heaven and Hell
The Liturgy of Funerary Offerings
by E. A. Wallis Budge [1909 ].
Also known as "The Book of the Opening of the Mouth", this book
contains a large extract from the Pyramid Texts, the oldest known
Ancient Egyptian sacred text.
The Demotic Magical Papyrus of London and Leiden
by F.Ll. Griffith and Herbert Thompson [1904 ]
A late Egyptian magical text originally written in Demotic.
Reprinted by Dover as 'The Leyden Papyrus.'
Legends of the Gods: The Egyptian Texts
by E. A. Wallis Budge [1912 ]
Translations of key Ancient Egyptian myths. Includes the De Iside et Osiride of Plutarch
The Burden of Isis
by James Teackle Dennis [1910 ]
A translation of a set of hymns to the goddess Isis.
The Wisdom of the Egyptians
by Brian Brown [1923 ]
Coverage of the history of Ancient Egyptian religion, with some important texts included:
the Ptah-Hotep and the Ke'gemini
the Wisdom of Hermes Trismegistus
the Story of the Book of Thoth
The Rosetta Stone
by E. A. Wallis Budge [1893 ,1905 ]
The famous monument which opened up the Ancient Egyptian writing
system: with extensive background material and a full translation of
the text.
The Hieroglyphics of Horapollo
translated by Alexander Turner Cory [1840 ]
An attempt in late antiquity to explain Egyptian Hieroglyphs as pure
symbols (very unsuccessfully). Noted for its influence on later
occultists.
Records of the Past
ed. by A. H. Sayce [1888 ]
Translations of mythological and historical texts from the Ancient Near East.
General
Tutankhamen: Amenism, Atenism and Egyptian Monotheism
by E. A. Wallis Budge [1923 ]
Egyptian Mythology and Egyptian Christianity
Samuel Sharpe [1863 ].
Egyptian Ideas of the Future Life
E. A. Wallis Budge [1900 ].
Egyptian Magic
E. A. Wallis Budge [1901 ]
Egyptian Myth and Legend
Donald A. Mackenzie [1907 ]
Ancient Egyptian Legends
Margaret Alice Murray [1920 ]
A taste of Ancient Egyptian mythology, by the trailblazing scholar Margaret Murray.
Legends of Babylonia and Egypt
by Leonard W. King
ANCIENT NEAR EAST
General
Myths and Legends of Babylonia and Assyria
by Donald A. Mackenzie [1915 ]
A massive survey of the religion, culture, and history of the ancient Near East.
The Religion Of Babylonia And Assyria
by Theophilus G. Pinches 159,537 bytes
Sumerian Mythology
by Samuel Noah Kramer [1944, 1961 ]
Texts
Records of the Past
Translations of mythological and historical texts from the Ancient Near East.
The Seven Tablets of Creation
by L.W. King [1902 ]
The Babylonian creation saga, one of the earliest written myths.
The Enuma Elish (The Epic of Creation)
translated by L. W. King [1902 ]
The Babylonian creation saga.
The Seven Evil Spirits
translated by R. C. Thompson [1903 ]
The Code of Hammurabi
translated by L.W. King [1915 ].
The earliest known legal code, considered the basis of many Near Eastern legal systems.
The Syrian Goddess
translated by Herbert A. Strong [1913 ]
Lucian of Samosata's account of Astarte worship in the late classical era, in what is now Turkey.
The Babylonian Legends of Creation
by E. A. Wallis Budge [1921 ]
The text of the Babylonian creation myth.
Gilgamesh
The Epic of Gilgamish
by R. Campbell Thompson [1928 ]
The first complete academic translation of Gilgamesh.
The Chaldean Account of the Deluge
by George Smith [1873 ]
A historic article in which the discovery of the Babylonian Deluge account was announced, an episode from the Gilgamesh myth.
Ishtar and Izdubar {Gilgamesh}
by Leonidas Le Cenci Hamilton . [ 1884 ]
An early translation of the Gilgamesh myth.
Adapa and the food of Life
Translated by R. W. Rogers [1912 ]
A fragment of the Gilgamesh saga.
Descent of the Goddess Ishtar into the Lower World
translated by M. Jastrow [1915 ]
A pivotal episode in the Gilgamesh saga involving the Goddess Ishtar.
The Babylonian Story of the Deluge and the Epic of Gilgamish.
by E. A. Wallis Budge [1929 ]
A short pamphlet which contains the 'Deluge' portion of the Gilgamesh epic and a summary of the rest of the text.
These and many more (ancient texts) can be found at http://www.sacred-texts.com. Thanx to John Bruno Hare, if you have copies of out-of-publication or copyright-free material that you would like published - and made freely available to all - on his site, you might want to look him up!