We have a discord, that has the most part of the Australian PC player-base on it. We run games often, almost always enough people for a game almost every night. Its not run by gearbox, but it gets us games, add me on steam here: http://steamcommunity.com/id/Arkanymoose and I can give you an invite link. Come play.
If you want you can PM me the link here and I can add it to the Discord server directory on the main Battleborn Discord so the Australian players there can find it. Unless you don’t want the link that public in which case that’s understandable.
During Battleborn day i got a note with this ANZ Battleborn Discord: https://discord.gg/Z856SaM