Well, my computer has been doing this for awhile.
Anytime I play a game and have a program called XFire up, my computer will freeze. Also, about 2-3 times everyday, my computer will freeze.
When it does this, usually I'll be on Mozilla Firefox (It will freeze outside of that, but not when the computer is idle). Usually, if I'm watching a video, the video will freeze, or a game will freeze (This is only if it does freeze, which as I said, is about 2-3 times a day). I am still able to highlight the other tabs that are open, and highlight things like the start menu and the quick click things next to it. If I do click these, usually it'll try to load the program but it won't load it up completely.
Also, whenever this happens, I can do ctrl+alt+delete, and choose task manager. If I do this though, it will not come up; only the system tray icon will appear. Also, when I do ctrl+alt+delete, I can choose shut down, but when I click the shut down button in the menu thing that pops up, the button gets frozen in and I have to manually restart my computer.
I have run the Windows Memory Diagnostic on one stick for 4 passes of the extended test, and 2 of the standard test, and 2 passes on the extended test and 2 of the standard test on the other stick of RAM. I then ran Memtest86+ for about 2 hours. It ran two passes and didn't find any errors.
Oh, and every once in awhile, instead of it crashing, I will get a Blue Screen of Death saying:
*** Hardware Malfunction
Call your hardware vendor for support
*** The system has halted ***
This has nothing extra on it; that's all it says.