Here in the US, I got an MRI at a 3rd party lab (not a hospital), and they gave me a copy on CD-ROM as I walked out. I didn't even have to ask! I was quite surprised, as I assumed the results would just be shared with my doctor electronically. I have no idea if I would have gotten this same treatment if I had paid 10x as much for the MRI at Stanford Hospital. (I'm guessing not).
Having worked in the medical field in the past exploring a DICOM dataset was no challenge, and the end result is I have a rotating 3D-view of my own brain! (Well just blood vessels, but still ..)