I got my Gigabyte 5600XT yesterday and so far I've had multiple events where my screen turned black.
My understanding was that the AMD drivers were better now. I've had my GTX 970 since Early January 2014 and never really had any problems with it and here I am today on day 2 of my GPU and I've had one instance of full computer shutdown and stuck in a boot-loop. As well as multiple events of both my screens turning black and then turning back on. The settings in the Radeon sometimes gets reset because of this.
Just to add, I did update the vbios, but I had these issues both before and after.
Gigabyte 5600XT OC
650W-gold Corsair PSU
16GB DDR4 3200 Memory
B450 Asus motherboard with the latest BIOS.
I've also tried to update the chipset drivers to the latest ones.
So far just an overall bad experience with team red on the graphic front.
My CPU have been great though.