It sounds like you're having a heat problem. First off - beanoslim is correct in the cpu recommended operating temp, and also that you can run it hotter. Running it hotter tends to reduce the life expectancy of the chip but not by much if you only go to ~80*C. OCCT's normal default shutdown temp for the CPU test is 80*C (if you check those charts the first and second ones will show you the cpu core that reach 80*C), so you're already hitting that mark if it shuts down due to CPU temp like you said - unless you already adjusted that, which I doubt. First thing to check on is the fan for the cpu heatsink. Is it running when you turn the computer on? Is it running at full speed? You can check that in bios under hardware monitor. It will give you the fan speed and cpu temps at the same time. It probably is but you should check it just in case. You can try removing, cleaning off the thermal paste and re-seating the processor with a new application of thermal paste, it could help some. If that don't cut it, sounds like it's time to get a new heatsink. One of the reasons the cpu heatsink is so important is that if it lets the cpu get hot then that heat sticks around in the case, which causes all the other parts to get hot and increases the heat that much more. Look to see how much room you have in the case and let us know so we can recommend different heatsinks if you want to try that. The reason we suggest that is because it has been working in the past and recently started doing this so something probably wore out.
If your video card, (what brand and model is it?) is 66*C at idle, which is higher than normal, the best way to cool that down is to increase the air flow through your case. But first, check the card and make sure the cooling fan is running, (if it has one). If it's not than it's time for a new card. If so then try some case fans. Add some additional fan(s) to the front and back to push/pull air through the case faster keeping it cooler. This will help some with the processor as well and should be the first thing you try. Pull the side off while running and see if the temps come down some and how much. If it's even 5* the extra case fans are probably a good idea. What case do you have? Just wondering what size fans to recommend. What is the ambient temp in the room?