Of the playwrights who wrote for the theatre of ancient Greece, not all of them are known today. The following list is therefore incomplete.
Choerilus (~524 BCE)
Aeschylus (c. 525–456 BCE):
The Persians (472 BCE)
Seven Against Thebes (467 BCE)
The Suppliants (463 BCE)
The Oresteia (458 BCE, a trilogy comprising Agamemnon, The Libation Bearers and The Eumenides.)
Prometheus Bound (authorship and date of performance is still in dispute)
Phrynichus (~511 BCE):
The Fall of Miletus (c. 511 BCE)
Phoenissae (c. 476 BCE)
Danaides
Actaeon
Alcestis
Tantalus
Achaeus of Eretria (484-c. 405 BCE)
Adrastus
Linus
Cycnus
Eumenides
Philoctetes
Pirithous
Theseus
Œdipus
Achaeus of Syracuse (c. 356 BCE)
Agathon (c. 448–400 BCE)
Aphareus (4th century BCE)
Asklepios**
Akhilleus**
Tantalos**
Sophocles (c. 495-406 BCE):
Theban plays, or Oedipus cycle:
Antigone (c. 442 BCE)
Oedipus Rex (c. 429 BCE)
Oedipus at Colonus (401 BCE, posthumous)
Ajax (unknown, presumed earlier in career)
The Trachiniae (unknown)
Electra (unknown, presumed later in career)
Philoctetes (409 BCE)
Euripides (c. 480–406 BCE):
Alcestis (438 BCE)
Medea (431 BCE)
The Heracleidae (Herakles Children) (c. 429 BCE)
Hippolytus (428 BCE)
Electra (c. 420 BCE)
Sisyphos (415 BCE)
Andromache (428-24 BCE)
The Suppliants (422 BCE)
Hecuba (424 BCE)
Herakles (421-416 BCE)
The Trojan Women (Troades) (415 BCE)
Ion (414-412 BCE)
Iphigenia in Tauris (414-412 BCE)
Helen (412 BCE)
The Phoenician Women (The Phoinissae) (411-409 BCE)
Iphigenia At Aulis (Iphigenia ad Aulis) (410 BCE)
Orestes (408 BCE)
The Cyclops (c. 408 BCE)
The Bacchae (405 BCE, posthumous)
Rhesus (unknown)
Euphorion (5th century BCE); possibly the author of Prometheus Bound, which is often attributed to his father Aeschylus
"Phaesus" (411-321 BCE)
Susarion of Megara (~580 BCE)
Epicharmus of Kos (~540-450 BCE)
Phormis, late 6th century
Dinolochus, 487 BCE
Euetes 485 BCE
Euxenides 485 BCE
Mylus 485 BCE
Chionides 487 BCE
Magnes 472 BCE
Cratinus (~520-420 BCE)
Crates c. 450 BCE
Ecphantides
Pisander
Epilycus
Callias Schoenion
Hermippus 435 BCE
Myrtilus
Lysimachus
Hegemon of Thasos, 413 BCE
Sophron
Phrynichus
Lycis, before 405 BCE
Lucrideus (c. 206 BCE)
Leucon
Lysippus
Eupolis (~446-411 BCE)
Aristophanes (c. 446-388 BCE), a leading source for Greek Old Comedy
The Acharnians (425 BCE)
The Knights (424 BCE)
The Clouds (423 BCE)
The Wasps (422 BCE)
Peace (421 BCE)
The Birds (414 BCE)
Lysistrata (411 BCE)
Thesmophoriazusae (c. 411 BCE)
The Frogs (405 BCE)
Assemblywomen (c. 392 BCE)
Plutus (388 BCE)
Pherecrates 420 BCE
Diocles of Phlius
Sannyrion
Philyllius, 394 BCE
Hipparchus
Archippus
Polyzelus
Philonides
Eunicus 5th century BCE
Telecleides 5th century BCE
Euphonius 458 BCE
Phrynichus (~429 BCE)
Cantharus 422 BCE
Ameipsias (c. 420 BCE)
Strattis (~412-390 BCE)
Cephisodorus 402 BCE
Plato (comic poet) late 5th century BCE
Theopompus c. 410 - c.380 BCE
Nicophon 5th century BCE
Nicochares (d.~345 BCE)
Eubulus early 4th century BCE
Araros, son of Aristophanes 388, 375
Antiphanes (~408-334 BCE)
Anaxandrides 4th century BCE
Calliades 4th century BCE
Nicostratus
Phillipus
Philetarus c. 390-c. 320 BCE
Anaxilas 343 BCE
Ophelion
Callicrates
Heraclides, 348 BCE
Alexis (~375 - 275 BCE)
Amphis mid-4th century BCE
Axionicus
Cratinus Junior
Eriphus
Epicrates of Ambracia 4th century BCE
Stephanus, 332 BCE
Strato
Aristophon
Euphron
Sotades
Augeas
Epippus
Heniochus
Epigenes
Mnesimachus
Timotheus
Sophilus
Antidotus
Naucrates
Xenarchus
Dromo
Crobylus
Philippides
Philemon of Soli or Syracuse (~362–262 BCE)
Menander (c. 342-291 BCE), a leading source for Greek New Comedy
Dyskolos (317 BCE)
Apollodorus of Carystus (~300-260 BCE)
Diphilus of Sinope (~340-290 BCE)
Dionysius
Timocles 324 BCE
Theophilus
Sosippus
Anaxippus, 303 BCE
Demetrius, 299 BCE
Archedicus, 302 BCE
Sopater, 282 BCE
Damoxenus c. 370 BC - 270 BCE
Hegesippus, or Crobylus
Theognetus
Bathon
Diodorus
Machon of Corinth/Alexandria 3rd century BCE
Poseidippus of Cassandreia (~316–250 BCE)
Epinicus (~217 BCE)
Laines or Laenes 185 BCE
Philemon 183 BCE
Chairion or Chaerion 154 BCE
List of ancient Greek playwrights Wikipedia (Text) CC BY-SA