About once-a-week since new, I had experienced intermittent graphics failures that made my MAC screen go to snow. I removed a piece of plastic embedded in the graphics card socket, which was probably on the board when it shipped to the assembler. That improved things, but I still experienced some problems where my MAC would not gracefully wake from sleep or auto-sense multiple monitors. My system suddenly started crashing on boot shortly after the screen powers-up with a kernel panic and system log references to the pci bus and graphics card specifically.
I went through the usual drill and took the MAC apart and vacuumed it out (not much dust actually) and pulled out the video card to inspect the terminals. Naturally there was nothing obvious (having already remedied that earlier), so I went looking deeper. The video card (ATI Radeon HD 5870) is in it's own substantial enclosure (full width and two slots deep) with it's own cooling system, so I decided to take it apart. I got down to the logic board after removing the case around it, I noticed a several prominent white smudges on the board that (at first) I thought might be corrosion but I am now convinced are fingerprints of silver oxide paste (used liberally to bond the onboard graphics processor to its heat-sinc). I've used the stuff, and it comes with all kinds of warnings that it's conductive and will do horrible things to printed circuits if not carefully contained. I scrubbed the board with alcohol, reassembled and it's working way better than new (at least for now).
There's a bunch of threads on the Apple support forums regarding similar failures of this particular card in this particular model and year. Looking at various user comments on generic PC reseller websites still offering this card for sale, there are user comments where a statistically significant number came DOA (or were soon RMA'd) indicating a possible quality control problem with assembly and inspection.