With the new Shield update came a new version of the Amazon Video app (now just referred to as Prime Video).
Previous version was 4.2.43-nvidia-armv7a. This new version is 4.6.5-googleplay-armv7a
The package is com.amazon.amazonvideo.livingroom. Previous version had nvidia appended to the end of the package name.
The version name including googleplay and no longer nvidia, makes me think it's this app that has been on the Play store now for months but no one could download:
https://play.google.com/store/apps/details?id=com.amazon.amazonvideo.livingroom&hl=en_CA
So I am curious to know if this new version is a generic Android TV version that will work on other Android TV devices.
I ripped it from my Shield and uploaded it here if anyone with a Mi Box wants to check it out:
https://www.dropbox.com/s/v9kgxp7m0ty9x0r/Prime%20Video_4.6.5-googleplay-armv7a.apk?dl=1
Just installed and is working fine on my mibox, thank you good sir.