Delphi has a more robust system (in theory), but the accuracy isn't quite as good. To the best of my knowledge Ford is also taking a different approach which doesn't depend on super-detailed maps to operate. The technology to compare the surroundings against a map is far easier than figuring out the surroundings and then navigating within that (not to trivialize this - both are extraordinarily difficult and nobody has made a fully self-driving car yet).
But hey, like they always say in YC - do things that don't scale. Uber is clearly pushing ahead faster than anyone else, and they have a hell of a team behind this project.
Regarding bridges - to oversimplify the simple answer is they're far noisier for the sensors (all of them, including cameras) and it just wreaks havoc on the sensor fusion system.