In addition to the endeavor to defeat a patrolling boss in the IC districts, I'd love to see an endeavor to defeat bosses in the IC sewers-- preferably the stationary bosses, since most of those can be soloed or duoed. I think that might encourage more players to go visit the IC sewers and spend time there.
It might also be nice to broaden the existing endeavor so it includes the patrolling bosses in both the IC districts and IC sewers.
I've fought mudcrabs more fearsome than me!