I think organ donation would be a good idea, but not every part of me. Only the best for the living!
I don't count myself amongst the "irreligious", its too broad a brush as there are religions congruent with an atheist position. In addition to a non belief in deities explicit in atheism, I'm also a monist in regards to the mind/body question.
So; here's my take from that perspective:
 - A Frisbee is a real-world demonstration of; the Bemoulli Principle, Newton's Third Law, orientational stability via angular momentum and aerodynamics, so …Science!
Already signed up as an organ donor. I've considered donating my body to science, but got very skeptical once I was told what the process entails, at least in the area I'm in. Once the medical school or lab is done with the body, they give the remains back to family and tell the survivors it's on your dime to get rid of the remains. The strikes me as rather cheap and miserly. They get the benefit of using my remains for teaching and/or research, and then front the final bill off on the survivors of the donor. It's a donation! If you don't want the costs associated with the gift, don't take the gift in the first place. Now, I could care less if my remains are cremated, dumped in a landfill for the vermin to eat, or are the yummies in the aquarium's shark tank at feeding time. I'm dead, and it's no longer my problem. But the underlying "bait and switch" routine of those institutions I've checked out have gotten them unceremoniously scratched out of my will.
I wonder if you can 'will your body' to any institution any where in the US?. There are also the 'body farms' where your remains can be put for further research.
'Body willing' seems to be gaining popularity simply because of funeral costs: http://www.kens5.com/news/Funeral-or-donate-body-to-science-UTHSC-s...
Thanks for the info Sandi. I may consider UT at Austin. And, it's my son's alma mater.
Yes, no qualms whatsoever.
They are welcome to it if they can use 63 year old body parts..