Yes, fair point - however I assumed he wanted something of a newer vintage given the card he mentioned.
@bkawashima:
It sounds like you don't want to fiddle. This being the case then your options are very limited. The Sapphire Mac Edition 7950 will work perfectly in a 1,1 running Mavericks (see reports elsewhere), but it won't boot into 10.7 if you ever find the 10.9 route closed as its 32 bit drivers are broken. Alternatively find a 5770 (still available new!) but accept that it's extremely expensive for an old card. Otherwise hunt around eBay for old options such as the 8800GT, 1900XT, or even Quadro FX 4500 - these are even more comically expensive (relatively for their age) than the £180 asked for a 5770. Newer officially supported Mac cards like the 5870 and GTX 680 will not show bootscreens in a 1,1 or 2,1 without work.
If you're prepared to lose bootscreens then the choice is far larger.
Alternatively flashing the video card opens other options, but understand precisely which connectors work on whatever card you buy as sometimes there can be limitations.
Separately to the graphics card question there is no point in flashing your Mac's firmware from a 1,1 to a 2,1 unless you have upgraded your processors to something later like an octo-core.