This thread is for anyone with the A/C flashing light and then not working. Most have found that it is the A/C relay that goes bad, and seems to be more common in the 2002 camrys. Anyways, I didn't want to fork out $75 for the dealer relay when i knew it could be found for cheaper. Shucks/Kragen/partsamerica shows one for only $14.99, but as most have found it is forever unavailable. I searched around and found this!
http://www.rockauto.com/catalog/raframecatalog.php
go there and you can find by your year and under a/c clutch control relay you will see part # 35874 for $12.96 plus shipping. I purchased this and my a/c is now working flawlessly. I am making this thread to help future diy'ers save some money.