Is a lot of storage necessary for you? Or are you simply looking for a small space for a couple things? Depending on how much storage you need, you may need more than just any coffee table with a cabinet or shelf. When you choose a new table, look at exactly what else coordinates with it. There might be matching pieces, such as storage units, matching end furniture with storage, or a furniture.
Cup top tables with an additional glass at the bottom can be a major design and to solve this issue many designs have easy metallic grill at the bottom storage level. By doing so the openness in design is still managed and the efficiency of having storage is achieved too.