The TEC cannon isn't much of an issue if you have the proper starbases in play with the standard upgrades on it. It can be a hassle if you don't.
The Advent cannon is a nuisance at best. Culture rarely works as a way to win unless you go hardcore with the damn thing and build culture structures out the ass.
The Vasari cannon is the one I've had more issues with, especially, when they jump in a fleet after you get hit. To me, that's the most effect one out of all of it.