So I keep meaning to post on these, so let's get this in quick: Tusker's FrigFest 3 and the RVB 1v1 frigate tournament are coming up soon. Yes, I'm sure that some hardcore PVPs will sneer that they don't need an organized event to pew pew, but even they hopefully can just get out and have some fun at these.
Tusker's FrigFest 3
Saturday, 11th May from 18:00 to 24:00 Evetime. Only Tech 1 Frigate hulls are allowed until 21:00, after which time any Frigate or Destroyer hull is allowed. See the rest of the rules and details at the official Tusker's forum post.
RVB: I Demand Satisfaction
June 1st and 2nd. Time TBD. This is going to use the new dueling mechanics, which will certainly help put them to the test. There are going to be two brackets: one for 90-day old or less characters, and one for all others. T1 frigate hulls only (no faction hulls) but you can fit anything you want onto that T1 hull. The original announcement on the RVB forums says that more details will be posted to Mangala's blog.