Various names: Gaieochos ("earth-shaker"), Helikonios ("of the Helicon"), Hippios ("the horseman")
An Athenian myth focused on an ancient rivalry between Poseidon and Athena: who was to give his or her name to the new city? Poseidon tried to bribe the citizens by offering them a horse; Athena gave them the olive tree, and won the contest.
Corinth, Small painting of Poseidon
Eleusis, Statue of Poseidon
Statuette of Poseidon
Poseidon on a coin of Demetrius Poliorcetes
Neptune
When the Romans adopted Greek mythology, they identified their Neptune with the Greek Poseidon
In Rome, there was a basilica of Neptune in the Baths of Agrippa