One year I put a couple of pieces of raw chicken breast in my compost-- I know you are not supposed to do that- but I had forgotten about this chicken. It was in the back of my fridge and went bad. I felt so guilty for wasting that poor chicken's life so totally. I couldn't put in the trash, it seemed too wretched.
I put it in my compost. It didn't attract critters, but it was disgusting. And for a time it stank when I lifted the cover. But oh, did that thing break down and compost. My contractor, who is also a great gardener, said not to worry. If it didn't bring an animal, it will rot just like anything else. (It actually rotted very quicky). He said back in 'the old country' his parents composted everything (no garbage pickup then).
I usually leave out the bread , if i have any, for birds. I also compost banana peels and citrus. It takes much longer, but as you are working the dirt, any big chunks can be tossed back into the composter. I like finding those eggshells in the dirt. I usually crush the egg shells when I put the in my counter contianer. That way, they are already small.