Hey I'm having the same problem. I have a Lumia 1020 that I just started using again and I cannot receive MMS messages. It says "Getting media content" but never does. I have no problem sending MMS however. I haven't used the phone for a few months. There were no problems before when it was my daily driver. When did this problem start for you?
No problem with Rogers MMS on my 920, 930 and 950XL
I had a brief problem with my 930 but it was because I initialized the phone WITHOUT the sim card inside. Hard reset with the sim card in, the phone picked up all the necessary details and I was working again.