I saw a do entary or something with a segment on this a few years back. It was in the UK somewhere, and they froze the placenta after the baby was born. Then, after a few days to let the mom recover, they fried it up and made a pate out of it. They served it with crackers and invited people over to eat with them. Most people seemed unphased and even complemented how it tasted.
There were a few who refused to try it, instead eating the other non-placenta food. The baby was the centerpiece of the celebration and it seemed like any other gathering I guess. I guess my mind still can't wrap itself around someone eating anything that came from my uterus, but to each their own.