How can we make best use of a corner cabinet in our kitchen?

We are remodeling our 1979 kitchen. We have four corner cabinets (two below the counter, two above) that occupy a lot of space but are difficult to use effectively. One has a “lazy susan” system that lets things fall back into the black hole behind it. All four are awkward and under-used. Are there better ways of utilizing that precious storage space? Are there specialized products that enable better use that space?