Team Logo. The Binghamton Mets were a team in the Eastern League. They were the Double-A affiliate of the New York Mets. In 2017, they changed their name to the Binghamton Rumble Ponies. Retrieved from "https://prosportsteams.fandom.com/wiki/Binghamton_Mets?oldid=15366" Categories: Former EL Teams Teams in New York Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.