9 Foods You Shouldn't Store in Your Fridge Although refrigerators have been keeping food cool since its invention in 1913, not everything does well in the fridge. Here are nine items that are better off left out of the fridge. 1. Bell Peppers 2. Cucumbers 3. Onions 4. Garlic 5. Tomatoes 6. Olive Oil 7. Butter 8. Nuts 9. Aged Cheese