Have the same problem with my X-T1. Was purchased April 2014, so it's a little out of the warranty window. The budging door has been since the get go, but has gotten worse. When I contacted Fujifilm repair, they stated I need to mail it to their NJ facility, at my own cost, which BTW is around $40+ with insurance! They would not confirm whether or not it would be covered, and that I'd be without the camera for around 3 weeks! I live in California, they have no repair facilities here, they do have a facility in Arizona, don't understand why it can't be sent to them! Great camera, except that this is supposed to be weather proof and it's an expensive camera, so I'd expect the cover door to be made better and for Fuji to have better support!
