We use our butter compartment for our butter of course, but it's also a good
place to put a partial sliced onion or tomato, as well as any of a number of
small items that were opened for partial use. The rest is just kept in the
door or a drawer in the fridge.
Eggs we tend to keep in the carton and on the lower shelf. I've been
looking for a better container, something along the lines of a plastic box
type of thing, with little luck. We saw one once and did not pick it
up --naturally, they're nowhere to be found now.