Check out the main organizations, Volleyball BC, Urban Rec and TFC volleyball if you are looking for both leagues and tournaments.
For the indoor fall and winter season, TFC runs Coed Reverse 4’s every two weeks at Burnaby South for fall and winter. Volleyball BC focuses on competive womens and mens 6’s on their calendar. Urban Rec usually has monthly coed 6’s tourneys at the Olympic Oval in Richmond.
Smaller organizations like Cambie Sports holds monthly tourneys in Richmond, either Coed 6’s or Coed Reverse 4’s.