Cake suffers from debilitating dryness when left in the cold. Covered on the counter, it should stay golden for about a week (but really, who takes a whole week to finish a cake?).
Bread also grows dry and crusty in the fridge, counteracting any intended preservation. A countertop breadbox is a much safer option.
This one's a bit controversial. Europeans never refrigerate their eggs while us Americans consider cold huevos the way to go. If the eggs are sourced from a nearby farm, there shouldn't be any need to stash them away. However, grocery store eggs, which are processed differently in the States and are more likely to contain salmonella, are safer on ice.
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Meredith Heil is a staff writer for Thrillist. She was raised in the field, she ain't got no chill. More at @mereditto.