You can store a variety of items in your cabinets above the stove, including shelf stable foods and cooking oils. You can also use organizers and other storage solutions to keep pans, containers, or spices in order. Its small size and inconvenient height usually leave you wondering what to put there. In this post, we've researched the items you can store in the different cabinets of your kitchen, and we will be sharing with you tips and tricks on how to utilize these higher spaces above the range or microwave for. The first step in effective cabinet organization is to make the most of the vertical space above your stove. Consider using stackable containers, tiered shelves, or lazy Susans to keep everything visible and accessible. What not to put next to a stove? 01 of 13. Tafilah Md Yusof / EyeEm / Getty Images.