Resources
A few of my favourite general readership resources for exploring the ancient Greek world
Ancient Greece
Jane Ellen Harrison was a leading light in the study of ancient Greek religion. Her works are a must read.
Also recommended:
The Histories, Herodotus (various accessible modern translations)
Handbook To Life In Ancient Greece, Lesley Adkins and Roy A Adkins
Sport and Games in the Ancient World, Vera Olivova
Greek and Roman Folklore, William Halliday
Food and Drink in Antiquity: A Sourcebook, John F Donahue
The Mycenaeans
Mycenae: Agamemnon's Capital, Elizabeth French
Mycenae: A Journey into the World of Agamemnon, Alkestis Papadimitriou and Elsi Spathari
Mycenae: A Guide to Its Ruins and History, George E Mylonas
Greece in the Bronze Age, Emily Vermeule
Minoan and Mycenaean Art, Reynold Higgins (this book is lavishly illustrated)
The Mycenaean World, John Chadwick
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Troy
Celebrating Homer's Landscapes: Troy and Ithaca Revisted, J V Luce
Homeric Sites Around Troy, Jonathan Brown
Troy: Myth and Reality, Alexandra Villing, J Lesley Fitton, Victoria Donnellan and Andrew Shapland
In Search of the Trojan War, Michael Wood
Novels
Novels inspired by Greek mythology are enjoying a revival, with many reinterpretations from the perspectives of long-neglected women. Leading authors include Madeline Miller, Pat Barker and Natalie Haynes.
Some earlier novels that I also love:
Jason, Electra and Oedipus, Henry Treece (trilogy of gorgeously dark novels set in Mycenaean Greece)
Ransom, David Malouf (Priam)
Cassandra and Medea, Christa Wolf
The Songs of the Kings, Barry Unsworth (the Greek kings and Iphigenia)
The King Must Die and The Bull from the Sea, Mary Renault (Theseus)
The Penelopiad, Margaret Atwood (Penelope)
Weight, Jeanette Winterson (Atlas and Heracles)
Bright Air Black, David Vann (Medea)
Mythology
Sophocles, Euripides and Aeschylus are sources for some of the most famous Greek myths. I particularly recommend translations by Anne Carson.
Also recommended:
The Penguin Dictionary of Classical Mythology, Pierre Grimal
The Routledge Handbook of Greek Mythology, Robin Hard
Greek Myths: A new retelling, Charlotte Higgins (centres female characters)
The Greek Myths, Robert Graves (enjoy with a large dose of salt)
Greek Mythology Link website
Theoi Greek Mythology website
Poetry in Translation (huge open-access archive of classic texts, both ancient and modern)