Reincarnation does exist. In a way...
Everything you are decomposes or is cremated. You become smoke or soil, what you are physically made of is never destroyed from the universe. Just the matter is recycled into something else.
As an atheist there is nothing nicer to me than the idea that what I am made of will be sent back to the planet and the universe and recycled. Derp, your mind won't be floating around after your brain is gone, but who cares-- not like you'll notice. ;D