I have this problem. In anticipation for Skyrim, I got Oblivion for my PC (Previously, I've had it on Xbox, but I traded it in, i don't really know why) and for one or two months, everything tagged along fine.
Now, I love the game, but a week ago, I started experiencing that my system froze at random if I accessed my inventory. It's almost like I got a BSOD, just that it isn't. How do I know? The first time, I actually managed to alt+tab. It's a normal CTD (well, normal. hum.) which seems to make the whole system stutter. If I'm in skype with someone at the same time, I can actually hear the person talk, only in a horribly slow, stuttering sound. It's like oblivion decides to eat my CPU and take everything else with it. Like I said, It's almost always when I bring up the inventory screen and highlight something.
My system:
CPU: Intel Core 2 Quad @2.83 ghz (4 cores)
GPU: Geforce GTX 560 TI
RAM: 7 GB DDR2
PSU: 550W corsair
OS: Win7, 64bit
Other games work fine, amongst them Fallout 3 and Fallout: NV, which run on the same engine. Game is patched and up to date Steam version (GOTY, nine dlc and shivering isles). It worked fine the two months I had it installed before last weeks' problems started.
I've yet to rule out corrupt saves, since after the first save continuously shut down, I created a new one, which managed it fine. Until I loaded that save the very next day. It once again had the same problem.
Last thing's last. Since Skyrim is coming up and I want my system to be at it's top (disregard overclocking for now) I reinstalled the system on my computer. The system isn't as sluggish as it was, but the Oblivion-specific problem persists. Has the madgod gotten hold of my computer? :S