I can say that I got an XFX Radeon HD 6670 working in a MacPro1,1 but not with x16 under 10.6.8. I will try to update as I learn more and let you know if it is stable. I am using DVI connection have not tested the others.
In order for it to work I had to leave it at the 3rd setting in the "Expansion Slot Utility" which is 3-x8 Lane 1-x1 Lane. I have the 6670 in slot 1 the bottom most slot and under this setting that is an x8 lane. The Utility tells you that the Graphics Card is running below the x16 mark but when I tried one of the x16 settings for slot 1 the card did not appear to work and I had to VNC in to change it back.
To find the "Expansion Slot Utility" and manually launch it goto /System/Library/CoreServices/
I have also heard but not tested that these PC Graphics Cards function better under higher Mac OS's and that HDMI may even work on this card in Lion or higher.