Team Logo. Barnet FC is a team in the Vanarama National League. They are nicknamed the "Bees." They have never played in the Barclays Premier League, but several of their players have gone on to play in the league. Retrieved from "https://prosportsteams.fandom.com/wiki/Barnet?oldid=15557" Categories: Teams in England Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.