If your referring to what i think you are then , any above ground plants that are capable of hydroponics/aquaponics, and if using a wicking system can also grow
root crops, i think the easiest way of answering your question is by saying " if you have a system that supports a 4 inch root ball , then any plants that grow with a 4 inch root ball" in essence design a system according to the plants you want to grow
If it's one like in this
Video then use hydrotons or something that doesnt decompose, as slumpage will kill the plants...