Garlic deteriorates at a quicker pace when stored in the refrigerator due to the added moisture, unless already peeled and prepared.
If you plan to use them in the next few weeks, nuts are good to be stored in an airtight container in the pantry. However, if you need them to last for longer than a month, put them in the freezer where they'll stay fresh and crunchy for a year.
Unless you really want to wrestle with it, avoid leaving honey in the refrigerator. There's no benefit to chilling it and the low temperatures cause it to crystallize and solidify, so you'll have to warm it before use.
Whole onions should ideally be kept in a cool, dark place. They'll become damp and soggy, and ultimately spoil if left in the refrigerator for too long.
Storing oil in the refrigerator makes it turn cloudy and grainy, room temperature is best to maintain a good color and consistency.
Cold temperatures make potatoes' starch turn into sugar, which can be potentially harmful. Potatoes should be stored, unwashed, in a spot well away from any sunlight.
Like potatoes, storing sweet potatoes in the refrigerator will change the vegetables' composition and ruin its texture and flavor.
If you're going to eat all your bread within a few days, don't put it in the refrigerator. Much like potatoes and sweet potatoes, cold temperatures change the structure of bread making it taste stale.