Both Chrome and Firefox use hardware acceleration to render pages using all the horsepower of your video cards. If anyone is to blame out of the three parties you listed, it *IS* ATI. That being said, a blue screen could come from any driver in your system, conflicts between drivers, or from other parts of Windows. Any of those could be the culprit. As for why it happens in Firefox and not Chrome, there are 2 possibilities. For one, Chrome may implement it's acceleration in an entirely different fashion (and probably does). As it turns out, there are many ways to solve a problem especially when talking about OpenGL. The other possibility is that Google found out about the issue (either through direct testing or feedback) and blacklisted your drivers, so that hardware acceleration is not used.
Believe me, you *want* hardware acceleration. If Chrome is not using it because of your bad drivers, you are probably missing out on a better Web.
Also, when most well-informed people make a complaint such as yours, they often mention that they performed one (or several) driver updates to attempt to remedy the problem. You do know that you can upgrade your graphics drivers right? Have you tried this?
Everyone complains about Firefox's automatic updates. I hope they aren't complaining about the actual automatic updates, but instead the way they are done currently in Firefox (most annoyingly, the need to hit UAC to perform the update in Windows). Automatic updates are not bad! Web developers rejoice because of them -- we hope it will prevent stupid users from sticking with an outdated web browser and then complaining about how their websites don't work anymore.
I think we are all tired of supporting five or six versions of X browser. Auto updates mean we target the "stable" channel of each browser. Web standards are much better implemented today, and automatic updates will feed that, too. If automatic updates were bad, Google would have turned it off for Chrome, and Firefox and Microsoft never would have adopted it.
Don't forget that old software has *security vulnerabilities*, you know, if you don't want your personal details splayed across the web for the malicious to pray on. Having automatic updates keeps you protected.
He has not acquired a fortune; the fortune has acquired him. -- Bion