Mythology and Literature are intertwined.
Whether you're reading them for the story or the literary values here's a hopefully useful list in chronological order of Greek and Latin texts.
Home the Iliad and Odyssey
The Homeric Hymns
The greek dramatists Aeschylus Sophocles Euripides and Aristophanes
The Greek Pastoral Poets
Apollonius Rhodius Argonautica
Virgil the Eclouges Georgics and Aeneid
Ovid the Metamorphoses Heroides and Fasti