I was waiting for an answer here to solve the same problem, but it did not happen.
After Gavin_Hayler told that there was no problem in new Unity projects, I started digging for the differences between new projects and my updated project and found out that cause of the problem was custom AndroidManifest.xml. Unity changed how AndroidManifest system works and changed some values inside the manifest file so that our old manifest files corrupts the proper file and does not let input flow.
So, you should alter your AndroidManifest.xml in proper way possible, or remove it for a while until plugin that uses it updates it.