From my own experience, when dealing with Gabion stone, the size requirements relate directly to the size of Gabion basket proposed. Apart from this, there are generic requirements fro strength, durability, rock type etc... that are recorded in lots of specifications, but its the grading which is often the key thing.
As for Rip-Rap, as well as looking at what the material needs to do, always check what materials are available locally. I was involved in a project , where no quarry within 200 miles could produce a material which would meet the Clients very exacting requirements, and this went on for a couple of years until the specification was changed.