Before E3 we still have the local anime event Ninja-Con. It's a first attempt at a anime convention at Little Tokyo, something I've wanted for a long time now. There's plenty of panels and presentations to check out. There's a maid cafe, special guests, many of which are voice actors. An artist alley to look through and even gaming. It's an event to show off your cosplay goodness a month before AX.
Ninja-Con
June 8
Little Tokyo
$20-$30
Be sure to check out their site for all the updated events and what's going on
Here, once again are some of my top picks of what to do at the convention.