The problem I have is that the dynamic body sometimes gets stuck between tiles. I managed to figure out all collisions with ray casts. It works really well, so if I was able to solve the getting stuck problem the prototype would be finished.
I could use a kinematic object instead and try to hack a way to avoid the collision responses that causes the issue. I’d rather not, though, because in my game I am actively using friction, forces and all the other stuff Box2D does so well.
As a side note, I noticed that triggers appear to lag a bit behind the main game object for some reason. See this thread: Determining all collision directions for player