This isn’t a comprehensive list, by any stretch, but here are some common “ancient” authors you might want to check out if you like your mythology and history right from the horses’ mouths. Links go to sites where you can read online (Topos and Theoi) and to the Amazon Kindle store, where a lot of eBooks can be bought for about two bucks, and read in the Kindle app on a laptop, or on your phone—you don’t necessarily have to have an actual Kindle.
Mythology
Hesiod, Theogony (Θεογονία) c. 700 BC [Topos] [Theoi] [Amazon]
Hesiod, Works and Days (Ἔργα καὶ Ἡμέραι) c. 800-700 BC [Topos] [Theoi] [Amazon]
Homeric Hymns c. 600–500 BC [Theoi] [Amazon]
Apollodorus, Library (Βιβλιοθήκη) c. 2nd–1st century BC [Topos] [Theoi] [Amazon]
History
Coming soon…
Epic and Theater
Apollonius of Rhodes, Argonautica (Ἀργοναυτικά) c. 3rd century BC [Topos] [Theoi] [Amazon]