I leave tomatoes out, to avoid the seeds and because my plastic tumbling composter for sure didn't heat up enough to kill disease and I can't be sure my big bin will heat up that much everywhere.
I was putting my compost through the chipper to deal with stuff like avocado, corncob and eggshells, but I'm now composting in a giant bin on the ground and if there are worms in there I wouldn't be able to bear chipping some of them. That barrel composter got stinky, though, so I'd rather have the bin.
