From the Events Calendar for June:
|Darkmoon Faire (Elwynn) June 5 - June 11|
|Call to Arms: Alterac Valley! June 9 - June 12|
|Call to Arms: Warsong Gulch! June 16 - June 19|
Call to Arms: Arathi Basin! June 23 - June 26
During a Call to Arms, emmissaries from that Battleground will be found in the major cities, and honor/faction rewards for performing objectives in that battleground are increased.
June will be a little boring for the lack of any special events. The next annual event is the Engineers' Explosive Extravaganza which is currently scheduled for July 4th. That nicely coincides with the US Holiday but it'll be on a Tuesday. I would suggest they line it up with Canada Day (July 1st) which is a Saturday this year. But that's just one player's opinion.