The literary work created during the Archaic period is Agamemnon. It is a play by Aeschylus, who is considered one of the earliest Greek tragedians. The Archaic period in Greece is typically considered to have lasted from around the 8th century to the early 5th century BCE, and Aeschylus' works were produced around the time of this transition into the Classical period.
The other works mentioned—The Clouds by Aristophanes and Oedipus the King by Sophocles—were created later, during the Classical period of Greek literature.