Somebody told you a new graphics card might not work on an old computer due to a conflict with the legacy BIOS?
Never heard of that.
Has anybody?A more likely issues is if the old machine has the one
PCIe slot for a modern graphics card.
Well, it does. But look here:
The problem is that the PCI-E slot on the 360 Motherboard is very close to the CPU fan enclosure whereas most of the graphics cards I've looked at are double width and as such, are too wide to fit.
That was found on another forum. Look at your machine and see if the card will bump into the CPU fan.