To my own surprise, I found another ATI/AMD card in my hardware pile (which I really should sort at some point). If I only knew where I got it, but oh well!
I now have a 3650, 4850, 5670 and 7750 at my disposal for testing, the first two tested with the 13.9 legacy driver and the two newer models with the 13.12 driver, and everything is working quite perfectly here.
I can still test with a bunch of different NVIDIA cards, I have at least a 430 GT and a 570 GTX around, maybe even something older.
So far however, everything is working just perfectly here, and sadly without reproducing issues, its extremely hard to even try to fix any.
The only issue I managed to reproduce was fixed in 19.0.111.
If you still have any issues, please be more specific than "It crashes" or "It hangs", details of what exactly happens and what exactly you were doing when it happened, in as much detail as possible: what were you watching, what were you trying to do, do you have hardware accelerated decoding on, RO Standard or ROHQ, etc, etc. Details! Always try tuning off hardware accelerated decoding, see if that helps.
Otherwise I'll not be able to do something about it. The log doesn't always provide the clear information of whats going on, especially if I have nothing to go on.